#2.7 B - Graphing Absolute Value Functions

Which equation below would give a "v" shaped graph?

• $y=x$

• $y=x^2$

• $y=\left|x\right|$

• $y=-2x-8$

Select all that apply. (May have more than one answer)

Which letter(s) does the function have that would result in a transformation from the parent function  $y=\left|x\right|$  ?

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

• H

• A

• K

• None

Select all that apply. (May have more than one answer)

Which letter(s) does the function have that would result in a transformation from the parent function   $y=\left|x\right|$  ?

 $y=4\left|x-2\right|+5$  

• H

• A

• K

• None

What is the value of h?

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

• -4

• 2

• 1

• 0

What is the value of A?

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

• -4

• 2

• -2

• 3

What is the value of K?

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

• 4

• 2

• -3

• 0

What is the vertex of the function?

f(x) = -2 |x + 3| - 2

• (-3, -2)

• (3, -2)

• (3, 2)

• (-3, 2)

Select all that apply. (May have more than one correct answer)

f(x) = |x - 6| + 2

• Horizontal translation right 6 units

• Horizontal translation left 6 units

• Vertical translation up 2 units

• Vertical translation down 2 units

Select all that apply. (May have more than one answer)

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

• Horizontal translation left 4 units

• Horizontal translation right 4 units

• Reflection over the x-axis

• Vertical stretch by a factor of 2

Describe the transformation from the Absolute Value Parent Function.

• Shift up 4 units

• Shift down 4 units

• Shift left 4 units

• Shift right 4 units