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