Match Absolute Value Graphs and Equations

What is the vertex of the following function? y=2|x-3|+1? Use this form (x, y) for your answer

What is the vertex of the following function? y= -4|x+2|+5? use the form (x, y) for your answer

f(x) = −|x+4|

• A

• B

• C

• D

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 

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

• y = Ix + 3I - 1
• y = Ix - 3I - 1
• y = Ix + 1I + 3
• y = Ix - 1I + 3

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

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Use Narrow, wide, or same to compare the width of this graph to the parent function.
y=4|x+3|-2

• Narrow

• Wide

• Same

Use Narrow, wide, or same to compare the width of this graph to the parent function.
y= 5/2 |x-1|+2

• Narrow

• Wide

• Same