Transformations of Functions All Types

What types of transformations happened to the parent function if

• Horizontal translation to the right 4
  

• Horizontal translation to the left 4
  

• Vertical shift up 2
  

• Vertical shift down 2
  

• Reflection over the x-axis
  

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

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.

• 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

• Translated right 3 and up 1

• Translated left 3 and up 1

• Translated right 3 and down 1

• Translated left 3 and down 1

• Reflection across the x-axis

• Reflection across the y-axis

• Vertical transition down 1

• Horizontal transition left 1

Answer explanation

The negative is on the outside, therefore it is a VERTICAL flip, which is a reflection across the x-axis.

Tags

2a.6c

Describe the transformations of the absolute value equation.

• Reflection, compresses wider, shifts right 1 unit

• Reflection, compresses wider, shifts up 1 unit

• Reflection, stretches more narrow, shifts right 1 unit

• Reflection, stretches more narrow, shifts up 1 unit