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Math Problems
Algebra 1
Describe function transformations
What kind of transformation converts the graph of
f
(
x
)
=
10
(
x
−
1
)
2
+
1
f(x) = 10(x - 1)^2 + 1
f
(
x
)
=
10
(
x
−
1
)
2
+
1
into the graph of
g
(
x
)
=
10
(
x
−
1
)
2
g(x) = 10(x - 1)^2
g
(
x
)
=
10
(
x
−
1
)
2
?
\newline
Choices:
\newline
(A) translation
1
1
1
unit up
\newline
(B) translation
1
1
1
unit down
\newline
(C) translation
1
1
1
unit right
\newline
(D) translation
1
1
1
unit left
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
6
(
x
+
8
)
2
+
5
f(x) = 6(x + 8)^2 + 5
f
(
x
)
=
6
(
x
+
8
)
2
+
5
into the graph of
g
(
x
)
=
6
(
x
+
8
)
2
+
9
g(x) = 6(x + 8)^2 + 9
g
(
x
)
=
6
(
x
+
8
)
2
+
9
?
\newline
Choices:
\newline
(A) translation
4
4
4
units left
\newline
(B) translation
4
4
4
units down
\newline
(C) translation
4
4
4
units right
\newline
(D) translation
4
4
4
units up
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
9
∣
x
−
8
∣
+
1
f(x) = 9|x - 8| + 1
f
(
x
)
=
9∣
x
−
8∣
+
1
into the graph of
g
(
x
)
=
9
∣
x
−
8
∣
+
2
g(x) = 9|x - 8| + 2
g
(
x
)
=
9∣
x
−
8∣
+
2
?
\newline
Choices:
\newline
(A) translation
1
1
1
unit up
\newline
(B) translation
1
1
1
unit right
\newline
(C) translation
1
1
1
unit left
\newline
(D) translation
1
1
1
unit down
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
8
(
x
−
3
)
2
−
8
f(x) = 8(x - 3)^2 - 8
f
(
x
)
=
8
(
x
−
3
)
2
−
8
into the graph of
g
(
x
)
=
8
(
x
−
3
)
2
−
3
g(x) = 8(x - 3)^2 - 3
g
(
x
)
=
8
(
x
−
3
)
2
−
3
?
\newline
Choices:
\newline
(A) translation
5
5
5
units up
\newline
(B) translation
5
5
5
units down
\newline
(C) translation
5
5
5
units right
\newline
(D) translation
5
5
5
units left
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
5
(
x
−
9
)
2
+
1
f(x) = -5(x - 9)^2 + 1
f
(
x
)
=
−
5
(
x
−
9
)
2
+
1
into the graph of
g
(
x
)
=
−
5
(
x
−
9
)
2
+
3
g(x) = -5(x - 9)^2 + 3
g
(
x
)
=
−
5
(
x
−
9
)
2
+
3
?
\newline
Choices:
\newline
(A) translation
2
2
2
units right
\newline
(B) translation
2
2
2
units up
\newline
(C) translation
2
2
2
units left
\newline
(D) translation
2
2
2
units down
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
5
∣
x
−
10
∣
−
5
f(x) = -5|x - 10| - 5
f
(
x
)
=
−
5∣
x
−
10∣
−
5
into the graph of
g
(
x
)
=
−
5
∣
x
−
10
∣
+
5
g(x) = -5|x - 10| + 5
g
(
x
)
=
−
5∣
x
−
10∣
+
5
?
\newline
Choices:
\newline
(A) translation
10
10
10
units left
\newline
(B) translation
10
10
10
units up
\newline
(C) translation
10
10
10
units right
\newline
(D) translation
10
10
10
units down
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
5
(
x
+
10
)
2
f(x) = -5(x + 10)^2
f
(
x
)
=
−
5
(
x
+
10
)
2
into the graph of
g
(
x
)
=
−
5
(
x
+
1
)
2
g(x) = -5(x + 1)^2
g
(
x
)
=
−
5
(
x
+
1
)
2
?
\newline
Choices:
\newline
(A) translation
9
9
9
units left
\newline
(B) translation
9
9
9
units right
\newline
(C) translation
9
9
9
units up
\newline
(D) translation
9
9
9
units down
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
4
∣
x
−
7
∣
+
6
f(x) = 4|x - 7| + 6
f
(
x
)
=
4∣
x
−
7∣
+
6
into the graph of
g
(
x
)
=
4
∣
x
−
9
∣
+
6
g(x) = 4|x - 9| + 6
g
(
x
)
=
4∣
x
−
9∣
+
6
?
\newline
Choices:
\newline
(A) translation
2
2
2
units up
\newline
(B) translation
2
2
2
units left
\newline
(C) translation
2
2
2
units right
\newline
(D) translation
2
2
2
units down
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
5
(
x
+
2
)
2
f(x) = 5(x + 2)^2
f
(
x
)
=
5
(
x
+
2
)
2
into the graph of
g
(
x
)
=
5
(
x
+
2
)
2
+
10
g(x) = 5(x + 2)^2 + 10
g
(
x
)
=
5
(
x
+
2
)
2
+
10
?
\newline
Choices:
\newline
(A) translation
10
10
10
units down
\newline
(B) translation
10
10
10
units up
\newline
(C) translation
10
10
10
units right
\newline
(D) translation
10
10
10
units left
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
7
∣
x
−
3
∣
+
4
f(x) = -7|x - 3| + 4
f
(
x
)
=
−
7∣
x
−
3∣
+
4
into the graph of
g
(
x
)
=
−
7
∣
x
+
5
∣
+
4
g(x) = -7|x + 5| + 4
g
(
x
)
=
−
7∣
x
+
5∣
+
4
?
\newline
Choices:
\newline
(A) translation
8
8
8
units down
\newline
(B) translation
8
8
8
units left
\newline
(C) translation
8
8
8
units right
\newline
(D) translation
8
8
8
units up
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
5
(
x
+
2
)
2
f(x) = -5(x + 2)^2
f
(
x
)
=
−
5
(
x
+
2
)
2
into the graph of
g
(
x
)
=
−
5
(
x
+
2
)
2
+
4
g(x) = -5(x + 2)^2 + 4
g
(
x
)
=
−
5
(
x
+
2
)
2
+
4
?
\newline
Choices:
\newline
(A) translation
4
4
4
units left
\newline
(B) translation
4
4
4
units up
\newline
(C) translation
4
4
4
units down
\newline
(D) translation
4
4
4
units right
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
7
(
x
+
3
)
2
−
1
f(x) = -7(x + 3)^2 - 1
f
(
x
)
=
−
7
(
x
+
3
)
2
−
1
into the graph of
g
(
x
)
=
−
7
(
x
+
3
)
2
+
1
g(x) = -7(x + 3)^2 + 1
g
(
x
)
=
−
7
(
x
+
3
)
2
+
1
?
\newline
Choices:
\newline
(A) translation
2
2
2
units left
\newline
(B) translation
2
2
2
units right
\newline
(C) translation
2
2
2
units up
\newline
(D) translation
2
2
2
units down
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
6
(
x
+
3
)
2
−
3
f(x) = -6(x + 3)^2 - 3
f
(
x
)
=
−
6
(
x
+
3
)
2
−
3
into the graph of
g
(
x
)
=
−
6
(
x
+
4
)
2
−
3
g(x) = -6(x + 4)^2 - 3
g
(
x
)
=
−
6
(
x
+
4
)
2
−
3
?
\newline
Choices:
\newline
(A) translation
1
1
1
unit right
\newline
(B) translation
1
1
1
unit down
\newline
(C) translation
1
1
1
unit up
\newline
(D) translation
1
1
1
unit left
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
8
(
x
+
9
)
2
−
5
f(x) = -8(x + 9)^2 - 5
f
(
x
)
=
−
8
(
x
+
9
)
2
−
5
into the graph of
g
(
x
)
=
−
8
(
x
+
6
)
2
−
5
g(x) = -8(x + 6)^2 - 5
g
(
x
)
=
−
8
(
x
+
6
)
2
−
5
?
\newline
Choices:
\newline
(A) translation
3
3
3
units right
\newline
(B) translation
3
3
3
units left
\newline
(C) translation
3
3
3
units up
\newline
(D) translation
3
3
3
units down
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
9
(
x
−
6
)
2
+
10
f(x) = -9(x - 6)^2 + 10
f
(
x
)
=
−
9
(
x
−
6
)
2
+
10
into the graph of
g
(
x
)
=
−
9
(
x
−
6
)
2
+
3
g(x) = -9(x - 6)^2 + 3
g
(
x
)
=
−
9
(
x
−
6
)
2
+
3
?
\newline
Choices:
\newline
(A) translation
7
7
7
units left
\newline
(B) translation
7
7
7
units down
\newline
(C) translation
7
7
7
units right
\newline
(D) translation
7
7
7
units up
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
3
(
x
+
5
)
2
+
7
f(x) = -3(x + 5)^2 + 7
f
(
x
)
=
−
3
(
x
+
5
)
2
+
7
into the graph of
g
(
x
)
=
−
3
x
2
+
7
g(x) = -3x^2 + 7
g
(
x
)
=
−
3
x
2
+
7
?
\newline
Choices:
\newline
(A) translation
5
5
5
units down
\newline
(B) translation
5
5
5
units up
\newline
(C) translation
5
5
5
units left
\newline
(D) translation
5
5
5
units right
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
9
(
x
−
6
)
2
f(x) = 9(x - 6)^2
f
(
x
)
=
9
(
x
−
6
)
2
into the graph of
g
(
x
)
=
9
(
x
−
3
)
2
g(x) = 9(x - 3)^2
g
(
x
)
=
9
(
x
−
3
)
2
?
\newline
Choices:
\newline
(A) translation
3
3
3
units right
\newline
(B) translation
3
3
3
units left
\newline
(C) translation
3
3
3
units down
\newline
(D) translation
3
3
3
units up
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
10
∣
x
+
7
∣
+
2
f(x) = 10|x + 7| + 2
f
(
x
)
=
10∣
x
+
7∣
+
2
into the graph of
g
(
x
)
=
10
∣
x
+
7
∣
+
10
g(x) = 10|x + 7| + 10
g
(
x
)
=
10∣
x
+
7∣
+
10
?
\newline
Choices:
\newline
(A) translation
8
8
8
units up
\newline
(B) translation
8
8
8
units down
\newline
(C) translation
8
8
8
units right
\newline
(D) translation
8
8
8
units left
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
∣
x
+
1
∣
−
9
f(x) = |x + 1| - 9
f
(
x
)
=
∣
x
+
1∣
−
9
into the graph of
g
(
x
)
=
∣
x
+
4
∣
−
9
g(x) = |x + 4| - 9
g
(
x
)
=
∣
x
+
4∣
−
9
?
\newline
Choices:
\newline
(A) translation
3
3
3
units left
\newline
(B) translation
3
3
3
units right
\newline
(C) translation
3
3
3
units down
\newline
(D) translation
3
3
3
units up
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
10
(
x
−
5
)
2
−
1
f(x) = -10(x - 5)^2 - 1
f
(
x
)
=
−
10
(
x
−
5
)
2
−
1
into the graph of
g
(
x
)
=
−
10
(
x
−
5
)
2
−
10
g(x) = -10(x - 5)^2 - 10
g
(
x
)
=
−
10
(
x
−
5
)
2
−
10
?
\newline
Choices:
\newline
(A) translation
9
9
9
units up
\newline
(B) translation
9
9
9
units right
\newline
(C) translation
9
9
9
units left
\newline
(D) translation
9
9
9
units down
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
10
∣
x
−
1
∣
+
1
f(x) = -10|x - 1| + 1
f
(
x
)
=
−
10∣
x
−
1∣
+
1
into the graph of
g
(
x
)
=
−
10
∣
x
−
10
∣
+
1
g(x) = -10|x - 10| + 1
g
(
x
)
=
−
10∣
x
−
10∣
+
1
?
\newline
Choices:
\newline
(A) translation
9
9
9
units right
\newline
(B) translation
9
9
9
units up
\newline
(C) translation
9
9
9
units down
\newline
(D) translation
9
9
9
units left
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
9
∣
x
+
6
∣
+
2
f(x) = -9|x + 6| + 2
f
(
x
)
=
−
9∣
x
+
6∣
+
2
into the graph of
g
(
x
)
=
−
9
∣
x
+
6
∣
−
8
g(x) = -9|x + 6| - 8
g
(
x
)
=
−
9∣
x
+
6∣
−
8
?
\newline
Choices:
\newline
(A) translation
10
10
10
units down
\newline
(B) translation
10
10
10
units left
\newline
(C) translation
10
10
10
units up
\newline
(D) translation
10
10
10
units right
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
8
x
2
−
2
f(x) = -8x^2 - 2
f
(
x
)
=
−
8
x
2
−
2
into the graph of
g
(
x
)
=
−
8
(
x
+
8
)
2
−
2
g(x) = -8(x + 8)^2 - 2
g
(
x
)
=
−
8
(
x
+
8
)
2
−
2
?
\newline
Choices:
\newline
(A) translation
8
8
8
units left
\newline
(B) translation
8
8
8
units up
\newline
(C) translation
8
8
8
units down
\newline
(D) translation
8
8
8
units right
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
5
(
x
+
8
)
2
+
9
f(x) = -5(x + 8)^2 + 9
f
(
x
)
=
−
5
(
x
+
8
)
2
+
9
into the graph of
g
(
x
)
=
−
5
(
x
+
8
)
2
+
1
g(x) = -5(x + 8)^2 + 1
g
(
x
)
=
−
5
(
x
+
8
)
2
+
1
?
\newline
Choices:
\newline
(A) translation
8
8
8
units left
\newline
(B) translation
8
8
8
units up
\newline
(C) translation
8
8
8
units down
\newline
(D) translation
8
8
8
units right
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
9
∣
x
+
7
∣
+
8
f(x) = -9|x + 7| + 8
f
(
x
)
=
−
9∣
x
+
7∣
+
8
into the graph of
g
(
x
)
=
−
9
∣
x
+
7
∣
g(x) = -9|x + 7|
g
(
x
)
=
−
9∣
x
+
7∣
?
\newline
Choices:
\newline
(A) translation
8
8
8
units down
\newline
(B) translation
8
8
8
units up
\newline
(C) translation
8
8
8
units left
\newline
(D) translation
8
8
8
units right
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
10
(
x
+
3
)
2
−
9
f(x) = 10(x + 3)^2 - 9
f
(
x
)
=
10
(
x
+
3
)
2
−
9
into the graph of
g
(
x
)
=
10
(
x
+
3
)
2
−
4
g(x) = 10(x + 3)^2 - 4
g
(
x
)
=
10
(
x
+
3
)
2
−
4
?
\newline
Choices:
\newline
(A) translation
5
5
5
units up
\newline
(B) translation
5
5
5
units right
\newline
(C) translation
5
5
5
units down
\newline
(D) translation
5
5
5
units left
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
9
∣
x
+
10
∣
+
5
f(x) = 9|x + 10| + 5
f
(
x
)
=
9∣
x
+
10∣
+
5
into the graph of
g
(
x
)
=
9
∣
x
+
6
∣
+
5
g(x) = 9|x + 6| + 5
g
(
x
)
=
9∣
x
+
6∣
+
5
?
\newline
Choices:
\newline
(A) translation
4
4
4
units up
\newline
(B) translation
4
4
4
units down
\newline
(C) translation
4
4
4
units left
\newline
(D) translation
4
4
4
units right
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
10
(
x
−
4
)
2
+
9
f(x) = 10(x - 4)^2 + 9
f
(
x
)
=
10
(
x
−
4
)
2
+
9
into the graph of
g
(
x
)
=
10
(
x
−
3
)
2
+
9
g(x) = 10(x - 3)^2 + 9
g
(
x
)
=
10
(
x
−
3
)
2
+
9
?
\newline
Choices:
\newline
(A) translation
1
1
1
unit down
\newline
(B) translation
1
1
1
unit up
\newline
(C) translation
1
1
1
unit right
\newline
(D) translation
1
1
1
unit left
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
7
(
x
+
7
)
2
−
6
f(x) = -7(x + 7)^2 - 6
f
(
x
)
=
−
7
(
x
+
7
)
2
−
6
into the graph of
g
(
x
)
=
−
7
(
x
+
3
)
2
−
6
g(x) = -7(x + 3)^2 - 6
g
(
x
)
=
−
7
(
x
+
3
)
2
−
6
?
\newline
Choices:
\newline
(A) translation
4
4
4
units right
\newline
(B) translation
4
4
4
units down
\newline
(C) translation
4
4
4
units up
\newline
(D) translation
4
4
4
units left
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
8
∣
x
+
8
∣
+
5
f(x) = 8|x + 8| + 5
f
(
x
)
=
8∣
x
+
8∣
+
5
into the graph of
g
(
x
)
=
8
∣
x
+
7
∣
+
5
g(x) = 8|x + 7| + 5
g
(
x
)
=
8∣
x
+
7∣
+
5
?
\newline
Choices:
\newline
(A) translation
1
1
1
unit left
\newline
(B) translation
1
1
1
unit up
\newline
(C) translation
1
1
1
unit down
\newline
(D) translation
1
1
1
unit right
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
4
(
x
+
8
)
2
−
9
f(x) = -4(x + 8)^2 - 9
f
(
x
)
=
−
4
(
x
+
8
)
2
−
9
into the graph of
g
(
x
)
=
−
4
(
x
+
8
)
2
−
7
g(x) = -4(x + 8)^2 - 7
g
(
x
)
=
−
4
(
x
+
8
)
2
−
7
?
\newline
Choices:
\newline
(A) translation
2
2
2
units down
\newline
(B) translation
2
2
2
units left
\newline
(C) translation
2
2
2
units right
\newline
(D) translation
2
2
2
units up
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
2
∣
x
+
1
∣
+
4
f(x) = 2|x + 1| + 4
f
(
x
)
=
2∣
x
+
1∣
+
4
into the graph of
g
(
x
)
=
2
∣
x
+
10
∣
+
4
g(x) = 2|x + 10| + 4
g
(
x
)
=
2∣
x
+
10∣
+
4
?
\newline
Choices:
\newline
(A) translation
9
9
9
units right
\newline
(B) translation
9
9
9
units up
\newline
(C) translation
9
9
9
units down
\newline
(D) translation
9
9
9
units left
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
10
∣
x
−
7
∣
−
7
f(x) = -10|x - 7| - 7
f
(
x
)
=
−
10∣
x
−
7∣
−
7
into the graph of
g
(
x
)
=
−
10
∣
x
−
7
∣
−
8
g(x) = -10|x - 7| - 8
g
(
x
)
=
−
10∣
x
−
7∣
−
8
?
\newline
Choices:
\newline
(A) translation
1
1
1
unit left
\newline
(B) translation
1
1
1
unit down
\newline
(C) translation
1
1
1
unit up
\newline
(D) translation
1
1
1
unit right
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
5
(
x
−
1
)
2
−
9
f(x) = 5(x - 1)^2 - 9
f
(
x
)
=
5
(
x
−
1
)
2
−
9
into the graph of
g
(
x
)
=
5
(
x
−
1
)
2
g(x) = 5(x - 1)^2
g
(
x
)
=
5
(
x
−
1
)
2
?
\newline
Choices:
\newline
(A) translation
9
9
9
units down
\newline
(B) translation
9
9
9
units up
\newline
(C) translation
9
9
9
units left
\newline
(D) translation
9
9
9
units right
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
10
(
x
+
10
)
2
−
9
f(x) = -10(x + 10)^2 - 9
f
(
x
)
=
−
10
(
x
+
10
)
2
−
9
into the graph of
g
(
x
)
=
−
10
(
x
+
10
)
2
−
8
g(x) = -10(x + 10)^2 - 8
g
(
x
)
=
−
10
(
x
+
10
)
2
−
8
?
\newline
Choices:
\newline
(A) translation
1
1
1
unit down
\newline
(B) translation
1
1
1
unit right
\newline
(C) translation
1
1
1
unit left
\newline
(D) translation
1
1
1
unit up
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
6
(
x
+
1
)
2
+
10
f(x) = 6(x + 1)^2 + 10
f
(
x
)
=
6
(
x
+
1
)
2
+
10
into the graph of
g
(
x
)
=
6
(
x
+
9
)
2
+
10
g(x) = 6(x + 9)^2 + 10
g
(
x
)
=
6
(
x
+
9
)
2
+
10
?
\newline
Choices:
\newline
(A) translation
8
8
8
units down
\newline
(B) translation
8
8
8
units right
\newline
(C) translation
8
8
8
units left
\newline
(D) translation
8
8
8
units up
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
6
∣
x
∣
−
4
f(x) = -6|x| - 4
f
(
x
)
=
−
6∣
x
∣
−
4
into the graph of
g
(
x
)
=
−
6
∣
x
∣
+
6
g(x) = -6|x| + 6
g
(
x
)
=
−
6∣
x
∣
+
6
?
\newline
Choices:
\newline
(A) translation
10
10
10
units right
\newline
(B) translation
10
10
10
units down
\newline
(C) translation
10
10
10
units up
\newline
(D) translation
10
10
10
units left
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
7
(
x
−
4
)
2
−
7
f(x) = 7(x - 4)^2 - 7
f
(
x
)
=
7
(
x
−
4
)
2
−
7
into the graph of
g
(
x
)
=
7
(
x
−
2
)
2
−
7
g(x) = 7(x - 2)^2 - 7
g
(
x
)
=
7
(
x
−
2
)
2
−
7
?
\newline
Choices:
\newline
(A) translation
2
2
2
units right
\newline
(B) translation
2
2
2
units down
\newline
(C) translation
2
2
2
units up
\newline
(D) translation
2
2
2
units left
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
10
(
x
−
5
)
2
+
10
f(x) = 10(x - 5)^2 + 10
f
(
x
)
=
10
(
x
−
5
)
2
+
10
into the graph of
g
(
x
)
=
10
(
x
−
5
)
2
g(x) = 10(x - 5)^2
g
(
x
)
=
10
(
x
−
5
)
2
?
\newline
Choices:
\newline
(A) translation
10
10
10
units down
\newline
(B) translation
10
10
10
units left
\newline
(C) translation
10
10
10
units right
\newline
(D) translation
10
10
10
units up
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
6
(
x
+
9
)
2
−
5
f(x) = -6(x + 9)^2 - 5
f
(
x
)
=
−
6
(
x
+
9
)
2
−
5
into the graph of
g
(
x
)
=
−
6
(
x
+
4
)
2
−
5
g(x) = -6(x + 4)^2 - 5
g
(
x
)
=
−
6
(
x
+
4
)
2
−
5
?
\newline
Choices:
\newline
(A) translation
5
5
5
units right
\newline
(B) translation
5
5
5
units down
\newline
(C) translation
5
5
5
units left
\newline
(D) translation
5
5
5
units up
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
10
∣
x
+
6
∣
−
6
f(x) = -10|x + 6| - 6
f
(
x
)
=
−
10∣
x
+
6∣
−
6
into the graph of
g
(
x
)
=
−
10
∣
x
+
5
∣
−
6
g(x) = -10|x + 5| - 6
g
(
x
)
=
−
10∣
x
+
5∣
−
6
?
\newline
Choices:
\newline
(A) translation
1
1
1
unit right
\newline
(B) translation
1
1
1
unit up
\newline
(C) translation
1
1
1
unit left
\newline
(D) translation
1
1
1
unit down
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
9
(
x
+
9
)
2
+
10
f(x) = 9(x + 9)^2 + 10
f
(
x
)
=
9
(
x
+
9
)
2
+
10
into the graph of
g
(
x
)
=
9
(
x
+
4
)
2
+
10
g(x) = 9(x + 4)^2 + 10
g
(
x
)
=
9
(
x
+
4
)
2
+
10
?
\newline
Choices:
\newline
(A) translation
5
5
5
units left
\newline
(B) translation
5
5
5
units up
\newline
(C) translation
5
5
5
units down
\newline
(D) translation
5
5
5
units right
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
10
∣
x
−
8
∣
−
10
f(x) = -10|x - 8| - 10
f
(
x
)
=
−
10∣
x
−
8∣
−
10
into the graph of
g
(
x
)
=
−
10
∣
x
−
8
∣
−
7
g(x) = -10|x - 8| - 7
g
(
x
)
=
−
10∣
x
−
8∣
−
7
?
\newline
Choices:
\newline
(A) translation
3
3
3
units up
\newline
(B) translation
3
3
3
units left
\newline
(C) translation
3
3
3
units down
\newline
(D) translation
3
3
3
units right
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
4
(
x
+
9
)
2
+
4
f(x) = 4(x + 9)^2 + 4
f
(
x
)
=
4
(
x
+
9
)
2
+
4
into the graph of
g
(
x
)
=
4
(
x
+
9
)
2
−
4
g(x) = 4(x + 9)^2 - 4
g
(
x
)
=
4
(
x
+
9
)
2
−
4
?
\newline
Choices:
\newline
(A) translation
8
8
8
units down
\newline
(B) translation
8
8
8
units left
\newline
(C) translation
8
8
8
units right
\newline
(D) translation
8
8
8
units up
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
9
(
x
−
9
)
2
−
9
f(x) = -9(x - 9)^2 - 9
f
(
x
)
=
−
9
(
x
−
9
)
2
−
9
into the graph of
g
(
x
)
=
−
9
(
x
+
1
)
2
−
9
g(x) = -9(x + 1)^2 - 9
g
(
x
)
=
−
9
(
x
+
1
)
2
−
9
?
\newline
Choices:
\newline
(A) translation
10
10
10
units left
\newline
(B) translation
10
10
10
units up
\newline
(C) translation
10
10
10
units right
\newline
(D) translation
10
10
10
units down
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
(
x
−
8
)
2
−
1
f(x) = (x - 8)^2 - 1
f
(
x
)
=
(
x
−
8
)
2
−
1
into the graph of
g
(
x
)
=
(
x
−
8
)
2
−
8
g(x) = (x - 8)^2 - 8
g
(
x
)
=
(
x
−
8
)
2
−
8
?
\newline
Choices:
\newline
(A) translation
7
7
7
units right
\newline
(B) translation
7
7
7
units left
\newline
(C) translation
7
7
7
units up
\newline
(D) translation
7
7
7
units down
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
2
(
x
+
4
)
2
+
3
f(x) = -2(x + 4)^2 + 3
f
(
x
)
=
−
2
(
x
+
4
)
2
+
3
into the graph of
g
(
x
)
=
−
2
(
x
−
4
)
2
+
3
g(x) = -2(x - 4)^2 + 3
g
(
x
)
=
−
2
(
x
−
4
)
2
+
3
?
\newline
Choices:
\newline
(A) translation
8
8
8
units down
\newline
(B) translation
8
8
8
units left
\newline
(C) translation
8
8
8
units up
\newline
(D) translation
8
8
8
units right
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
5
(
x
−
9
)
2
−
2
f(x) = 5(x - 9)^2 - 2
f
(
x
)
=
5
(
x
−
9
)
2
−
2
into the graph of
g
(
x
)
=
5
(
x
−
9
)
2
−
8
g(x) = 5(x - 9)^2 - 8
g
(
x
)
=
5
(
x
−
9
)
2
−
8
?
\newline
Choices:
\newline
(A) translation
6
6
6
units up
\newline
(B) translation
6
6
6
units left
\newline
(C) translation
6
6
6
units right
\newline
(D) translation
6
6
6
units down
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
9
∣
x
+
6
∣
−
9
f(x) = 9|x + 6| - 9
f
(
x
)
=
9∣
x
+
6∣
−
9
into the graph of
g
(
x
)
=
9
∣
x
+
6
∣
+
1
g(x) = 9|x + 6| + 1
g
(
x
)
=
9∣
x
+
6∣
+
1
?
\newline
Choices:
\newline
(A) translation
10
10
10
units right
\newline
(B) translation
10
10
10
units up
\newline
(C) translation
10
10
10
units down
\newline
(D) translation
10
10
10
units left
Get tutor help
What kind of transformation converts the graph of
f
(
x
)
=
−
7
(
x
−
2
)
2
−
4
f(x) = -7(x - 2)^2 - 4
f
(
x
)
=
−
7
(
x
−
2
)
2
−
4
into the graph of
g
(
x
)
=
−
7
(
x
+
5
)
2
−
4
g(x) = -7(x + 5)^2 - 4
g
(
x
)
=
−
7
(
x
+
5
)
2
−
4
?
\newline
Choices:
\newline
(A) translation
7
7
7
units up
\newline
(B) translation
7
7
7
units left
\newline
(C) translation
7
7
7
units down
\newline
(D) translation
7
7
7
units right
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