9/24 Absolute Value Transformations Extra Practice

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

Select the correct set of transformations.

f(x) = 1/3 |x + 4| - 2

• Horizontal translation left 4 units

  Vertical shrink by a factor of 3 units

  Vertical translation down 2 units

• Horizontal translation right 4 units

  Vertical shrink by a factor of 3 units

  Vertical translation down 2 units

• Horizontal translation left 4 units

  Vertical shrink by a factor of 3 units

  Vertical translation up 2 units

• Horizontal translation left 4 units

  Vertical stretch by a factor of 3 units

  Vertical translation down 2 units

• (-1, 6)

• (-6, 1)

• (-6, 0)

• (6, 0)

What is the equation of the function in the graph?

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3
• reflected over x axis, stretched by 2, left 3 up 3.
• reflected over x axis, shrunk by 2, right 3, up 3
• reflected over the x axis, shrunk by 2, left 3, up 3

Describe the transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit
• Reflects over x-axis, compresses wider, shifts up 1 unit
• Reflects over x-axis, stretches more narrow, shifts right 1 unit
• Reflects over x-axis, stretches more narrow, shifts up 1 unit

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

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3
• reflected over x axis, stretched by 2, left 3 up 3.
• reflected over x axis, shrunk by 2, right 3, up 3
• reflected over the x axis, shrunk by 2, left 3, up 3

Describe the transformations from the parent graph to f(x) = -3∣x + 5∣ - 7

• Down 7, Left 5, Stretch by 3, Flip
• Up 7, Right 5, Stretch by 3, Flip
• Down 7, Left 5, Compress by 3, Flip
• Up 7, Right 5, Compress by 3, Flip

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)
• (-3,1)
• (2,-3)
• (3,1)