Graphing Radical Functions and Absolute Value Review

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 1/2

Which letter(s) does the function have? 

f(x) = -|x+3|

• H

• A

• K

• None

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

y = 4|x + 3| - 2

• Narrower

• Wider

• Same

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

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

• Narrower

• Wider

• Same

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

y = -|x| + 9

• Narrower

• Wider

• Same

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

y= 1/3 |x| + 3

• Narrower

• Wider

• Same

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)

• (-3,1)

• (2,-3)

• (3,1)

What is the equation of this graph?

• y=2|x-3|+1

• y=2|x-1|+3

• y=-2|x+1|+3

• y=-2|x-1|+3

f(x) = −|x+4|

• A

• B

• C

• D

y = |x - 3| makes the graph slide . . .

• left 3

• right 3

• up 3

• down 3