Pre Assessment Quadratic Unit Worksheet Page 10

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2
28 Find the inverse of the function: f(x) = x
− 4. Is the inverse a function?
____
2
−1
−1
A f
(x) = x
+ 4; yes it is a
C f
(x) = ±
x + 4 ; no it is not a
function.
function.
−1
−1
2
B f
(x) = ±
x + 4 ; yes it is a
D f
(x) = x
+ 4; no it is not a
function.
function
2
29 Find the inverse of the function: f(x) = (x − 2)
+ 3. State the domain and range of the
____
inverse.
−1
−1
A f
(x) = ±
x − 3 + 2
C f
(x) = ±
x + 3 − 2
{
} Range:
{
} Range:
Domain: x|x ∈ ℜ
Domain: x|x ∈ ℜ
Ï
¸
Ï
¸
Ô Ô
Ô Ô
Ô Ô
Ô Ô
Ì
y|y ≥ 3
˝
Ì
y|y ≥ 3
˝
Ô Ô
Ô Ô
Ô Ô
Ô Ô
Ó
˛
Ó
˛
−1
−1
B f
(x) = ±
x − 3 + 2
D f
(x) = ±
x + 3 − 2
Domain: x|x ≥ 3
{
} Range:
Domain: x|x ≥ 3
{
} Range:
Ï
¸
Ï
¸
Ô Ô
Ô Ô
Ô Ô
Ô Ô
Ì
y|y ∈ ℜ
˝
Ì
y|y ∈ ℜ
˝
Ô Ô
Ô Ô
Ô Ô
Ô Ô
Ó
˛
Ó
˛
2
2
30 What transformation of the parent function, f(x) = x
, is the function f(x) = −(x + 2)
?
____
A Reflect across the x-axis and
C Reflect across the x-axis and
translate right 2.
translate left 2.
B Reflect across the y-axis and
D Reflect across the y-axis and
translate up 2.
translate down 2.
2
31 Write a function that represents the parent function, y = x
, after it has been
____
translated 3 up and 2 right.
) 2 + 2
) 2 − 2
(
(
A y = x − 3
C y = x + 3
) 2 + 3
) 2 − 3
(
(
B y = x − 2
D y = x + 2
Page 10

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