High School
SAT
SAT Elite 1500
SAT Tutoring
ACT
ACT Elite 33
ACT Tutoring
University
MCAT
MCAT Elite 515
Med-School Admissions
Pre-Med Tutoring
Pre-Med Plus
LSAT
LSAT Elite 170
LSAT Self-Paced
LSAT Tutoring
DAT
DAT Elite
DAT Tutoring
Log in
Get Started for Free
Transformations
Related Topics
Wize High School Grade 12 Pre-Calculus Textbook > Transformations
Inverse Functions & Transformations
5 Activities
The graph of
y
=
2
(
x
−
2
)
2
−
2
y=2(x-2)^2-2
y
=
2
(
x
−
2
)
2
−
2
is shown below.
What is the inverse of
y
=
2
(
x
−
2
)
2
−
2
y=2(x-2)^2-2
y
=
2
(
x
−
2
)
2
−
2
and its graph?
A)
y
=
±
1
2
x
+
1
+
2
y=\pm\sqrt{\frac{1}{2}x+1}+2
y
=
±
2
1
x
+
1
+
2
B)
y
=
±
1
2
x
−
1
−
2
y=\pm\sqrt{\frac{1}{2}x-1}-2
y
=
±
2
1
x
−
1
−
2
C)
y
=
±
1
2
x
+
1
−
2
y=\pm\sqrt{\frac{1}{2}x+1}-2
y
=
±
2
1
x
+
1
−
2
D)
y
=
±
1
2
x
−
1
+
2
y=\pm\sqrt{\frac{1}{2}x-1}+2
y
=
±
2
1
x
−
1
+
2
I don't know
Check Submission
More Inverse Functions & Transformations Questions:
Inverse Functions & Transformations
Practice: Inverse Functions & Transformations
If (4a, 3b) is on the graph of
y
=
−
5
f
(
x
+
2
)
,
y=-5f(x+2),~
y
=
−
5
f
(
x
+
2
)
,
then what point must be on the function
y
=
−
f
−
1
(
−
x
+
1
)
?
y=-f^{-1}(-x+1)?
y
=
−
f
−
1
(
−
x
+
1
)?
Inverse Functions & Transformations
Practice: Inverse Functions & Transformations
If (3, -1) is on the graph of
y
=
−
2
f
(
−
x
)
,
y=-2f(-x),~
y
=
−
2
f
(
−
x
)
,
then what point must be on the function
y
=
4
f
−
1
(
x
−
2
)
?
y=4f^{-1}(x-2)?
y
=
4
f
−
1
(
x
−
2
)?
Inverse Functions & Transformations
Practice: Inverse Functions & Transformations
The function
y
=
f
(
x
)
y=f(x)~
y
=
f
(
x
)
is shown below:
Which graph represent
y
=
3
f
−
1
(
x
−
4
)
+
2
y=3f^{-1}(x-4)+2
y
=
3
f
−
1
(
x
−
4
)
+
2
?
Inverse Functions & Transformations
Practice: Inverse Functions & Transformations
The function
y
=
f
(
x
)
y=f(x)~
y
=
f
(
x
)
has it's graph shown below:
Which graph represent
y
=
2
f
−
1
(
x
+
3
)
y=2f^{-1}(x+3)
y
=
2
f
−
1
(
x
+
3
)
?
Inverse Functions & Transformations
Practice: Inverse Functions & Transformations
Let
y
=
f
(
x
)
y=f(x)~
y
=
f
(
x
)
be graphed below:
Find and graph
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
Inverse Functions & Transformations
Practice: Inverse Functions & Transformations
Let
y
=
f
(
x
)
y=f(x)~
y
=
f
(
x
)
be graphed below:
Find and graph
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
