Absolute Value Functions Graphs

Which of the following equations matches the graph?

• $y=\left|x-3\right|+2$

• $y=-\left|x-3\right|+2$

• $y=\left|x+3\right|+2$

• $y=\left|x+3\right|-2$

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

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

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2

• f(x ) = I x - 4 I + 2

• f(x ) = -I x - 4 I + 2

• f(x ) = -I x + 4 I + 2

What is the equation of the graph below?

• y = - | x + 2| + 4

• y = | x - 2| - 4

• y = - | x - 2| + 4

• y = | x - 2 | + 4

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

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 the equation y=|x+2|+1?

(Click the picture to see all the graphs up close)

• A

• B

• C

• D

What is the graph of y=|x|−2 ?

(Click the picture to see the graphs up close)

• A

• B

• C

• D

Which graph matches the function?

y = -2|x - 3| + 5 ?

(Click the picture to zoom in and see the graphs up close!)

• A

• B

• C

• D