Free Printable Transformations Quiz

1.

Which of the equations below is a parent function?

a)

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

b)

$f\left(x\right)=\sqrt{x}-1$

c)

$f\left(x\right)=-4x^2$

d)

$f\left(x\right)=\left(x+3\right)^3$

2.

What type of function is shown in the graph?

a)

Square root function

b)

Absolute value function

c)

Cubic function

d)

Quadratic function

3.

Which of these equations will move an equation horizontally right 6 units?

a)

$f\left(x\right)=\left(x-6\right)^2$

b)

$f\left(x\right)=\left(x+6\right)^3$

c)

$f\left(x\right)=\sqrt{x}+6$

d)

$f\left(x\right)=\left|x\right|-6$

4.

Which equation has been translated up 5 units?

a)

$f\left(x\right)=x^3+5$

b)

$f\left(x\right)=x^2-5$

c)

$f\left(x\right)=\left|x+5\right|$

d)

$f\left(x\right)=\sqrt{x-5}$

5.

Use words to describe how the following absolute value function moves from its parent function:

f\left(x\right)=\left|x+7\right|

a)

Translates horizontally left 7 units

b)

Translates horizontally right 7 units

c)

Translates vertically up 7 units

d)

Translates horizontally down 7 units

6.

Look at the graph and describe in words how the parent function (blue) moved to the new function (green).

a)

Left 2 units and down 4 units

b)

Left 2 units and up 4 units

c)

Right 2 units and down 4 units

d)

Right 2 units and up 4 units

7.

Which equation matches the graph below:

a)

$f\left(x\right)=-\left|x-5\right|-3$

b)

$f\left(x\right)=\left|x-5\right|-3$

c)

$f\left(x\right)=-\left|x-3\right|-5$

d)

$f\left(x\right)=\left|x+5\right|-3$

8.

Which equation has been stretched (narrowed)?

a)

$f\left(x\right)=3\sqrt{x}+1$

b)

$f\left(x\right)=\frac{1}{3}x^2$

c)

$f\left(x\right)=-0.42x^3$

d)

$f\left(x\right)=\left|x+7\right|+9$

9.

How has the parent function (blue) been changed to the green function in in the graph below?

a)

Vertically stretched (narrowed)

b)

Vertically shrunk (widened)

c)

Vertically translated up

d)

Vertically reflected across the x-axis

10.

Which graph matches the equation below:

f\left(x\right)=-\left(x+6\right)^2-2

a)

b)

c)

d)

Transformations Quiz

Total questions: 10

Worksheet time: 3hrs 30mins

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