Describe the transformations from the parent graph to f(x) = -3∣x + 5∣ - 7

Down 7, Left 5, Stretch by 3, Flip

Up 7, Right 5, Stretch by 3, Flip

Down 7, Left 5, Compress by 3, Flip

Up 7, Right 5, Compress by 3, Flip

In the absolute value function $$y=a\left|x-h\right|+k$$ , what does the k-value do? Select ALL that apply.

It controls the vertical translation by shifting the graph up or down.

It is the y-coordinate of the vertex.

It controls the horizontal translation by shifting the graph left or right.

It is the x-coordinate of the vertex.

The opposite of k is the x-coordinate of the vertex.

In the absolute value function $$y=a\left|x-h\right|+k$$ , what does the h-value do? Select ALL that apply.

It controls the horizontal translation by shifting the graph left or right.

The opposite of h is the x-coordinate of the vertex.

It controls the vertical translation by shifting the graph up or down.

It is the x-coordinate of the vertex.

It is the y-coordinate of the vertex.

In the absolute value function $$y=a\left|x-h\right|+k$$ , how does a negative a-value affect the graph?

-a will cause the graph to reflect over the x-axis.

-a will cause the graph to move down.

-a will cause the graph to move left.

-a will cause the graph to reflect over the y-axis.

In the absolute value function $$y=a\left|x-h\right|+k$$ , how does the a-value affect the dilation of the graph? Select ALL that apply.

If a is smaller than -1, the graph gets narrower.

If a is bigger than 1, the graph gets narrower.

If a falls between -1 and 1, the graph will get wider.

If $$a=1\ or\ a=-1$$ , the graph will have no dilation.

If a is bigger than 1, the graph gets wider.

Absolute Value Functions & Transformations

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-IF.C.7D

Standards-aligned

Emily Keeler

FREE Resource

42 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Select the correct set of transformations.

f(x) = 1/3 |x + 4| - 2

Horizontal translation left 4 units

Vertical shrink by a factor of 3 units

Vertical translation down 2 units

Horizontal translation right 4 units

Vertical shrink by a factor of 3 units

Vertical translation down 2 units

Horizontal translation left 4 units

Vertical shrink by a factor of 3 units

Vertical translation up 2 units

Horizontal translation left 4 units

Vertical stretch by a factor of 3 units

Vertical translation down 2 units

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation of the graph below?

f(x) = I x + 2 I

f(x) = I x + 2 I +2

f(x) = I x - 2 I +2

f(x) = I x - 2 I

Tags

CCSS.HSF-IF.C.7D

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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|

Tags

CCSS.HSF-IF.C.7D

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which graph matches the function:
y = -2|x - 3| + 5

A

B

C

D

Tags

CCSS.HSF-IF.C.7D

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation of the graph below? You can click the picture to zoom in!

y = - | x + 2| + 4

y = - | x - 2| + 4

y = | x - 2 | + 4

y = | x - 2| - 4

Tags

CCSS.HSF-IF.C.7D

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation for the absolute value parent function that has been vertically compressed by a factor of 1/4, reflected over the y-axis, and has been translated up 3 units?

y = 4|-x| - 3

y = -1/4|x| + 3

y = 1/4|-x| - 3

y = 1/4|-x| + 3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine if the translation is a vertical, horizontal, reflection, or dilation

Horizontal

Dilation

Vertical

Reflection

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Absolute Value Functions & Transformations

42 questions

Select the correct set of transformations.f(x) = 1/3 |x + 4| - 2

What is the equation of the graph below?

What is the equation of the absolute value function?

Which graph matches the function:y = -2|x - 3| + 5

What is the equation of the graph below? You can click the picture to zoom in!

What is the equation for the absolute value parent function that has been vertically compressed by a factor of 1/4, reflected over the y-axis, and has been translated up 3 units?

Determine if the translation is a vertical, horizontal, reflection, or dilation

Determine if the translation is a vertical, horizontal, reflection, or dilation

Determine if the translation is a vertical, horizontal, reflection, or dilation

Determine if the translation is a vertical, horizontal, reflection, or dilation

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Select the correct set of transformations.

f(x) = 1/3 |x + 4| - 2

Which graph matches the function:
y = -2|x - 3| + 5