Key Features of Absolute Value Graphs

Find the x-intercept(s) of the graph shown. (Pick all answers that apply)

• (-3.3, 0)

• (5.6, 0)

• (-5, 0)

• (0, 4)

Find the interval(s) where the graph remains constant.

• (-6, -4)

• (-4, -2)

• (-2, 2)

• (2, 5)

• (5, 6)

f(x) = −|x+4|

• A

• B

• C

• D

What function best describes this graph? (Click the picture to zoom in)

• f(x)= -|x+4| + 1

• f(x)= |x-1| + 4

• f(x)= |x+1| + 4

• f(x)= -|x+1| + 4

What is the graph of y=|x−2|+3 ?

• A

• B

• C

• D

f(x)= |x−3|−1

• A

• B

• C

• D

Which of the graphs given is y=|x+1|−4 ? (Click on the picture to enlarge it so you can see)

• A

• B

• C

• y=D

y=|x|−4

• A

• B

• C

• D

Mathematical Equivalence

OFF

What is the equation of the graph below? You can click the picture to zoom in!

• y = - | x + 2| + 4

• y = - | x - 2| + 4

• y = | x - 2 | + 4

• y = | x - 2| - 4