Absolute Value Functions Graph

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

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

Write an absolute value function given the following transformations: Vertical Stretch of 2 Horizontal shift left 1 unit Vertical shift down 9 units

• f(x) = |2x + 1| - 9

• f(x) = |2x - 1| - 9

• f(x) = 2|x + 1| - 9

• f(x) = 2|x - 1| - 9

Describe in words how the graph transformed.

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What is the equation of the graph below?

• f(x) = I x I -1

• f(x) = I x I +1

• f(x) = - I x I -1

• f(x) = -I x I +1

Which function is graphed?

• f(x) = -3|x - 1| + 4

• f(x) = -|x - 1| + 4

• f(x) = -5|x + 1| + 4

• f(x) = -3|x - 4| + 1

Which graph matches the function:
y = -2|x - 3| + 5

• A

• B

• C

• D

Which function is graphed?

• f(x) = 2|x - 5|

• f(x) = |x - 5|

• f(x) = |x - 5| + 5

• f(x) = |x| + 5

What is the vertex of the following function?
y= -4|x+2|+5

• (-4,2)

• (-2,5)

• (-4,-2)

• (2,5)

What is the vertex of the following function?
y= 4|x|+1

• (0,1)

• (4,1)

• (-4,1)

• (4,-1)