Absolute Functions Notes

Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

• Right 2 down 5

Which of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9

• Left 4
  up 9

• Left 4
  Down 9

• Right 4
  up 9

• Right 4
  Down 9

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

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

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?
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)

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