Free Printable Checkpoint - Function Translations and Reflections

1.

Which of the following statements is true regarding the function $p(x+3)−5$ ? Mark ALL that apply.

a)

The function is shifted 3 units to the right of the parent function.

b)

The function is shifted 3 units to the left of the parent function.

c)

The function is shifted 5 units down from the parent function.

d)

The function is shifted 5 units up from the parent function.

e)

The function is a reflection of the parent function.

2.

What rule maps $m(x)$ onto $h(x)$ ?

a)

$h(x)=m(x−1)$

b)

$h(x)=m(x+2)$

c)

$h(x)=m(x)+2$

d)

$h(x)=m(x)−1$

3.

Which function is the reflection of $f(x)=\left|x\right|$ over the x-axis?

a)

$f\left(x\right)=-\left|x\right|$

b)

$f\left(x\right)=\left|x-1\right|$

c)

$f\left(x\right)=\left|x\right|^2$

d)

$f\left(x\right)=\left|-x\right|$

4.

Which of the following points is a reflection of (−4, 7) over the y-axis?

a)

(−4, −7)

b)

(−4, 7)

c)

(4, 7)

d)

(4, −7)

5.

Which of the following statements is true regarding the function $p(x−4)+7$ ? Mark ALL that apply.

a)

The function is a reflection of the parent function.

b)

The function is shifted 4 units to the right of the parent function.

c)

The function is shifted 4 units to the left of the parent function.

d)

The function is shifted 7 units down from the parent function.

e)

The function is shifted 7 units up from the parent function.

6.

What rule maps $m(x)$ onto $h(x)$ ?

a)

$h(x)=m(x−1)$

b)

$h(x)=m(x+2)$

c)

$h(x)=m(x)+2$

d)

$h(x)=m(x)−1$

7.

Which function is the reflection of $f(x)=\left|x\right|$ over the y-axis?

a)

$f\left(x\right)=-\left|x\right|$

b)

$f\left(x\right)=\left|x-1\right|$

c)

$f\left(x\right)=\left|x\right|^2$

d)

$f\left(x\right)=\left|-x\right|$

8.

Which of the following points is a reflection of (2, −3) over the x-axis?

a)

(−3, 2)

b)

(−2, 3)

c)

(−2, −3)

d)

(2, 3)

9.

The function g(x) was translated 2 units right. Which translation rule describes this path?

a)

$g(x+2)$

b)

$g(x−2)$

c)

$g(x)+2$

d)

$g(x)−2$

10.

Which function is the reflection of $f\left(x\right)=x^2$ over the x-axis?

a)

$f\left(x\right)=x^2+1$

b)

$f\left(x\right)=\left(-x\right)^2$

c)

$f\left(x\right)=\frac{1}{2}x^2$

d)

$f\left(x\right)=-x^2$

Checkpoint - Function Translations and Reflections

Total questions: 10

Worksheet time: 10mins

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