Graphing Absolute Value and Quadratic Functions Rules

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

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= 1/3 |x| + 3

• Narrower

• Wider

• Same

What is the equation of the graph below?

• f(x) = I x + 2 I 

• f(x) = I x  I + 2

• f(x) = I x  I - 2

• f(x) = I x - 2 I 

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

Which function is graphed? You can click the picture to zoom in!

• f(x) = 2|x - 4| - 3

• f(x) = ¹/₂ |x + 4| - 3

• f(x) = ¹/₂|x - 3| - 4

• f(x) = 2|x + 3| + 4

How many "pieces" are graphed in this function?

• 1

• 2

• 3

• 4

What is the value of f(0)?

• -2

• 2

• 4

• 0