Quiz about Function Familes - Transformations

Question 1

Given $$y=f\left(x-h\right),$$ what is/are the transformation(s) on the function $$y=f\left(x\right)$$
if $$h>0?$$

Accepted Answer

Horizontal Translation: Right h units

Answer

Horizontal Translation:

Left h units

Answer

Vertical Translation:

Up h units

Answer

Vertical Translation:

Down h units

Question 2

Given $$y=f\left(x-h\right),$$ what is/are the transformation(s) on the function $$y=f\left(x\right)$$
if $$h<0?$$

Accepted Answer

Horizontal Translation:

Left h units

Answer

Horizontal Translation: Right h units

Answer

Vertical Translation:

Up h units

Answer

Vertical Translation:

Down h units

Question 3

Given $$y=f\left(x\right)+k,$$ what is/are the transformation(s) on the function $$y=f\left(x\right)$$
if $$k>0?$$

Accepted Answer

Vertical Translation:

Up k units

Answer

Horizontal Translation: Right k units

Answer

Horizontal Translation:

Left k units

Answer

Vertical Translation:

Down k units

Question 4

Given $$y=f\left(x\right)+k,$$ what is/are the transformation(s) on the function $$y=f\left(x\right)$$
if $$k<0?$$

Accepted Answer

Vertical Translation:

Down k units

Answer

Horizontal Translation: Right k units

Answer

Horizontal Translation:

Left k units

Answer

Vertical Translation:

Up k units

Question 5

Reflection:

A horizontal reflection is a transformation that causes the graph of a function to flip across _____ . It is represented by $$y=f\left(-x\right)$$ .

Accepted Answer

$$x=0$$

y-axis

Answer

$$y=x$$

identity

Answer

$$y=0$$

x-axis

Answer

$$\left(0,0\right)$$

origin

Question 6

Reflection:

A vertical reflection is a transformation that causes the graph of a function to flip across _____ . It is represented by $$y=-f\left(x\right)$$ .

Accepted Answer

$$y=0$$

x-axis

Answer

$$x=0$$

y-axis

Answer

$$y=x$$

identity

Answer

$$\left(0,0\right)$$

origin

Function Familes - Transformations

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics