Graphing linear functions

Select the transformations that represent the graph.

• Vertical Compression by a factor of 1/2, Shift left 2 units, Shift down 6 units

• Vertical Stretch by a factor of 1/2, Shift left 2 units, Shift down 6 units

• Shift left 2 units, Shift down 6 units

• Horizontal Compression by a factor of 1/2, Shift left 2 units, Shift down 6 units

Describe each transformation

• vertically stretch by factor of 1/4, right 3, down 1

• vertically stretch by factor of 1/4, right 3, up 1

• vertically compressed by factor of 1/4, left 3, down 1

• vertically compressed by factor of 1/4, left 3, up 1

What transformations have been applied to the function $f\left(x\right)\ =\ \frac{1}{2}\left|x-3\right|\$  compared to the parent function  $f\left(x\right)=\left|x\right|$   

• vertical stretch, 1/2; translation: 3 units right

• vertical stretch, 1/2 translation: 3 units left

• vertical compression, 1/2; translation: 3 units right

• vertical compression, 1/2; translation:  3 units left

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 up 1 unit

Which of the following transformations describes the given function?

• Shift the parent function to the left 3 and up 2.

• Shift the parent function to the right 3 and up 2.

• Shift the parent function to the left 3 and down 2.

• Shift the parent function to the right 3 and down 2.

Given $f\left(x\right)=\left|x\right|$ , describe how  $g\left(x\right)=\frac{1}{2}f\left(x+8\right)$  is transformed from f(x).  

• Vertical stetch by a factor of 1/2

• Vertical compression by a factor of 1/2

• Shift up 8 units

• Shift right 8 units

• Shift left 8 units

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

Describe the movements y = |x − 2|

• Left 2
• Right 2
• Up 2
• Down 2

True or False: The functions below have the same vertex.

 $f\left(x\right)=\ -2\left|x-3\right|+1$  

 $g\left(x\right)\ =\ \frac{1}{2}\left|x-3\right|+1$  

• True

• False

Describe the transformation of the function g(x)= -2∣x+2∣-9

• Reflect the y axis, stretch vertically, left 2, down 9
• Reflect the x axis, stretch vertically, right 2, down 9
• Reflect the x axis, compress vertically, right 2, down 9
• Reflect the x axis, stretch vertically, left 2, down 9