Transformations of Parent Functions

• Horizontal translation left

• Vertical shrink

• Vertical translation down

• Horizontal translation right

• Vertical stretch

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

What transformations has the function undergone?

• reflect over y, vertical compression by 2, right 5, up 1

• reflect over x, horizontal compression by 2, left 5, up 1

• reflect over x, vertical stretch by 2, right 5, up 1

• reflect over y, horizontal stretch by -2, right 5, up 1

Tags

CCSS.HSF.BF.B.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

Tags

CCSS.HSF.BF.B.3

• X axis reflection

• Y axis reflection

• Left 1

• Vertical stretch by 2

• Horizontal compression by 1/2

Tags

CCSS.HSF.BF.B.3