Free Printable Transforming Absolute Value Functions

1.

Which of the following is the absolute value parent function's equation?

a)

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

b)

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

c)

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

d)

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

2.

Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5

a)

Left 2 up 5

b)

Right 2 up 5

c)

Left 2 down 5

d)

Right 2 down 5

3.

Describe the following transformations on the parent function ƒ(x)= |x|:

ƒ(x)= |x+1|+3

a)

Shift right 1 unit and down 3 units

b)

Shift left 1 unit and up 3 units

c)

Shift left 3 units and up 1 unit.

d)

Shift right 1 unit and up 3 units

4.

Describe the following transformation(s) on the parent function ƒ(x)= |x|:

ƒ(x)= |x|+1

a)

Shift up 1 unit

b)

Shift left 1 unit

c)

Shift right 1 unit

d)

Shift down 1 unit

5.

Write the transformed function that shifts the parent function ƒ(x)= |x|left 2 units

a)

ƒ(x)= |x|+2

b)

ƒ(x)= |x|-2

c)

ƒ(x)= |x-2|

d)

ƒ(x)= |x+2|

6.

Write the transformed function that shifts the parent function ƒ(x) = |x| left 1 unit.

a)

ƒ(x)= |x|-1

b)

ƒ(x)= |x+1|

c)

ƒ(x)= |x|+1

d)

ƒ(x)= |x-1|

7.

Write the transformed function that shifts the parent function ƒ(x)= |x| up 2 units.

a)

ƒ(x)= |x+2|

b)

ƒ(x)= |x|-2

c)

ƒ(x)= |x|+2

d)

ƒ(x)= |x-2|

8.

Determine the transformation

a)

Left 5, up 1

b)

Left 5, down 1

c)

Right 5, up 1

d)

Right 5, down 1

9.

Determine the transformation

a)

left 3, up 2

b)

right 3, up 2

c)

left 3, down 2

d)

right 3, down 2

10.

What is the equation of the graph below?

a)

f(x) = - I x + 2 I

b)

f(x) = - I x - 2 I

c)

f(x) = I x + 2 I

d)

f(x) = I x - 2 I

11.

Which function is graphed?

a)

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

b)

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

c)

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

d)

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

12.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

13.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

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

c)

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

d)

f(x) = I x - 2 I

14.

Which equation is equivalent to the absolute value function graphed?

a)

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

b)

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

c)

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

d)

$f\left(x\right)=\left|x\right|+12$

15.

What is the vertex of the graph?

a)

$\left(-1,\ 3\right)$

b)

$\left(-1,\ -3\right)$

c)

$\left(1,\ -3\right)$

d)

$\left(1,\ 3\right)$

Transforming Absolute Value Functions

Total questions: 15

Worksheet time: 29mins

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