Describing Transformations of Parent Functions

Describe the transformation that is applied to the parent function.

f(x) = 3 Ix+8I

• Vertically Stretches by 3, Shifts left 8

• Vertically Stretches by 3, Shifts right 8

• Vertically Stretches by 3, Shifts up 8

• Vertically Stretches by 3, Shifts down 8

Tell how the function transformed from y =|x|

y = -2|x|

• Translated left 2 units

• Reflected over x-axis

• Vertically stretched and reflected over x-axis

• Compressed vertically and reflected over the x-axis

Describe the transformations from the original parent function f(x) = x².

g(x) = 5x² + 2

• Vertical Stretch of 5

  Down 2

• Vertical Compression of 5

  Up 2

• Vertical Stretch of 5

  Up 2

• Vertical Compression of 5

  Down 2

Describe the parent graph transformation

• vertical stretch by 1/2, left 1, down 3

• horizontal stretch by 1/2, right 1, down 3

• vertical compression by 1/2, left 1, down 3

• horizontal compression by 1/2, right 1, down 3

f(x) = 2x

• Vertical stretch

• Vertical compression

• Vertical translation up

• Reflection over the x-axis

• No Transformation

f(x) = 0.7√(x)

• Vertical stretch

• Vertical compression

• Vertical translation down

• Reflection over the x-axis

• No transformation

Which of the following transformations have been applied to the function ∛ x+3+7?

• Up 3

• Left 3

• Up 7

• Right 7

• X axis reflection

• Y axis reflection

• Left 1

• Vertical stretch by 2

• Horizontal compression by 1/2

Describe the transformation(s) in the following function.

• y = Ix + 2I - 1
• y = -Ix + 2I - 1
• y = -Ix - 2I - 1
• y = -Ix + 1I - 2