Free Printable Absolute value graphing

1.

What is the vertex of the function?

y = -2 |x + 3| - 2

a)

(-3, -2)

b)

(3, -2)

c)

(3, 2)

d)

(-3, 2)

2.

What is the vertex of the function?

y = 2|x - 4|

a)

(2, -4)

b)

(2, 4)

c)

(-4, 0)

d)

(4, 0)

3.

What is the value of k?

y = 4|x +2| - 3

a)

4

b)

2

c)

-3

d)

0

4.

What is the value of a?

y = -2|x - 4| + 3

a)

-4

b)

2

c)

-2

d)

3

5.

What is the value of h?

f(x) = |x + 4| - 2

a)

-4

b)

2

c)

1

d)

4

6.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

7.

What is the domain of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

All real numbers

d)

[4, infinity)

8.

Which function is graphed?

a)

y = 2|x + 2| -4

b)

y = 2|x - 4| + 2

c)

y = |x + 2| - 4

d)

y = -2|x - 4|

9.

Which function is graphed?

a)

y = -3|x -1| + 4

b)

y = -|x - 1| + 4

c)

y = 3|x + 1| + 4

d)

y = -3|x - 4| + 1

10.

Choose the correct equation for the graph.

a)

$y=\left|x+3\right|-4$

b)

$y=\left|x-3\right|-4$

c)

$y=\left|x+3\right|+4$

d)

$y=\left|x-3\right|+4$

11.

Choose the correct equation for the graph below.

a)

$y=\left|x-4\right|-3$

b)

$y=-\left|x+4\right|-3$

c)

$y=-\left|x-4\right|-3$

d)

$y=-\left|x+4\right|+3$

12.

What is the vertex of the following function?
y= -4|x+2|+5

a)

(-4,2)

b)

(-2,5)

c)

(-4,-2)

d)

(2,5)

13.

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = 4|x + 3| - 2

a)

Narrower

b)

Wider

c)

Same

14.

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = -|x| + 9

a)

Narrower

b)

Wider

c)

Same

15.

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = 5/2 |x - 1|+ 2

a)

Narrower

b)

Wider

c)

Same

16.

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y= 1/3 |x| + 3

a)

Narrower

b)

Wider

c)

Same

17.

What is the range?

a)

y ≥ 5

b)

y ≥ -3

c)

y ≤ -3

d)

y ≤ 5

18.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

19.

Solve for x
3 l 4w−1 l −5 = 10

a)

x = 1.5 and x =-1

b)

x = -1.5 and x = 1

c)

x =1 and x = -1

d)

No Solution

20.

Which equation shows a function that is translated left 4 and 7 up?

a)

y = |x + 4| + 7

b)

y = (x - 4)² + 7

c)

y = (x + 7)² - 4

d)

y = |x + 4| - 7

21.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

22.

.
The blue graphs is the parent function f(x)=|x|, the red must be

a)

g(x)=|x+2|

b)

g(x)=|x|+2

c)

g(x)=|x-2|

d)

g(x)=|x|-2

23.

What are the x-intercept of the function

$f\left(x\right)=-2\left|x+4\right|+8$

a)

{-8,0}

b)

{0}

c)

{-4,8}

d)

None

24.

What is the y-intercept of the function

$f\left(x\right)=\left|x+3\right|-7$

a)

-4

b)

0

c)

3

d)

7

25.

What is the domain of the function

$g\left(x\right)=\left|x-2\right|+3$

a)

All Real Numbers

b)

$x\ge-2$

c)

$x<2$

d)

$\left[0,\infty\right)$

26.

What is the range of the function

$y=\left|x\right|+2$

a)

$y\ge2$

b)

All Real Numbers

c)

$y>0$

d)

$y\le-2$

27.

What is the transformation of $y=-\left|x\right|$

a)

Reflection

b)

Shifts Up

c)

Shifts Left

d)

Rotates 90 degrees

Absolute value graphing

Total questions: 27

Worksheet time: 5hrs 30mins

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