Absolute Value and Geometric Rigid Transformations

Write an absolute value function given the following transformations from the parent function: Reflection across the x-axis horizontal shift right 2 units vertical shift down 7 units

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

Describe the transformation of the equation below from the absolute value parent function.

• Left 4

• Right 4

• Up 4

• Down 4

Choose the equation that best matches the graphed function.

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin

• Rotate -90 degrees around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees about the origin.

Tags

CCSS.8.G.A.3

• Left 2, up 4

• Right 2, up 4

• Left 2, down 4

• Right 2, down 4

The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

f(x) = −|x+4|

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7D

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, compress by 2, right 3, up 3

• reflected over the x axis, compress by 2, left 3, up 3