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