Absolute Value Parent Functions and Translations

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 equation of the graph below?

• f(x) = - I x + 2 I 

• f(x) = - I x - 2 I 

• f(x) =  I x + 2 I 

• f(x) =  I x - 2 I 

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

Which function is graphed?

• f(x) = 2|x + 2| - 3

• f(x) = |¹/₂x + 2| - 3

• f(x) = |¹/₂x + 3| - 2

• f(x) = 4|¹/₂x + 3| - 2

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units

• Stretches more narrow, shifts down 4 units

• Compresses wider, shifts up 4 units

• Compresses wider, shifts down 4 units

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit

• Flips to A shape, compresses wider, shifts up 1 unit

• Flips to A shape, stretches more narrow, shifts right 1 unit

• Flips to A shape, stretches more narrow, shifts up 1 unit

Write an absolute value function given the following transformations:

Reflection across the x-axis

Horizontal shift right 2 units

Vertical shift down 7 units

• y = -|x + 2| - 7

• y = |x - 2| - 7

• y = -|x - 2| - 7

• y = -|x - 2| + 7

What is the vertex of the following function?

• (10,3)

• (-10,3)

• (-10,-3)

• (10,-3)

What is the line of symmetry of the following function?

y= -4|x+2|+5

• x=-4

• x=2

• x=-2

• x=5

What is the line of symmetry of the following function?

y= -2|x+10|+3

• x=-2

• x=10

• x=3

• x=-10