Free Printable Vertical and Horizontal Stretches and Compressions

Worksheets

Vertical and Horizontal Stretches and Compressions

Total questions: 16

Worksheet time: 34mins

Name

Class

Date

Does the equation vertically stretch, compress, or reflect?

f\left(x\right)=0.75x^2

*Always compare to the parent function (graph first)*

Stretch by a factor of 2

Compress by a factor of 0.75

Reflect across the x-axis

Both stretch by a factor of 2 and reflect across the x-axis

Does the equation vertically stretch, compress, or reflect?
$f\left(x\right)=-5x^2$
*Always compare to the parent function (graph first)*

Stretch by a factor of 5

Compress by a factor of $\frac{5}{2}$

Reflect across the x-axis

Both Stretch by a factor of 5 & Reflect across the x-axis

What are the transformations?
y=(x-2)³+4

Horz shift right 2 Vert shift up 4

Horz shift left 2 Vert shift up 4

Horz shift right 2 Vert shift down 4

Horz shift left 2 Vert shift up 4

Find the equation of the transformed graph

y= |x|

y=|x| -1

y= -|x|

y=|x-1|

Find the equation of the transformed graph

y=\left|x+3\right|

$y=3\left|x\right|$

$y=\left|x\right|+3$

$y=\left|x\right|$

A horizontal stretch...

moves a graph left or right

flips a graph upside down

moves a graph up or down

makes a graph wider

Given the f(x)=x² and the point (-2, 4), what happens to the point of g(-2), if g(x)=f(¹/₃x)= (¹/₃x)²?

it becomes (-2, 12)

it becomes (-6, 4)

it becomes (^-2/₃, 4)

it becomes (-2, ⁴/₃)

Given point on a function f(x) is (1, 1), what will the point become for h(x) if h(x)=f(¹/₂x)?

it becomes (1, ¹/₂)

it becomes (¹/₂, 1)

it becomes (2, 1)

it becomes (1, 2)

If the blue is f(x)=x^2,the red must be

g(x)=(x=3)²

g(x)=x²-3

g(x)=x²+3

g(x)=3x²

10.

If the blue is f(x)=x^2,the red must be

g(x)=2x²

g(x)=0.5x²

g(x)=x²+2

g(x)=(x+2)²

11.

If the blue is f(x)=x^2,the red must be

g(x)=(x+3)²

g(x)=(x-3)²

g(x)=x²+3

g(x)=x²-2

12.

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

y = -|x + 2| - 7

y = |x - 2| - 7

y = -|x - 2| - 7

y = -|x - 2| + 7

13.

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

y = -|x + 2| - 7

y = |x - 2| - 7

y = -|x - 2| - 7

y = -|x - 2| + 7

14.

Tell how the function transformed from y =|x|
y = -2|x|

Translated left 2 units

Reflected over x-axis

Stretched vertically and reflected over x-axis

Compressed vertically and reflected over the x-axis

15.

y = Ix + 2I - 1

y = -Ix + 2I - 1

y = -Ix - 2I - 1

y = -Ix + 1I - 2

16.

What is the equation of the absolute value function?

f(x)= 4|x+3|

f(x)= 1/4 |x+3|

f(x)= 1/4 |x - 3|

f(x)= 4|x - 3|

100 %

Vertical and Horizontal Stretches and Compressions

Total questions: 16

Worksheet time: 34mins

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