Transformations of Parent Functions

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation from the parent graph

• Reflect over x, right 3, down 4

• Reflect over y, right 3, down 4

• Reflect over x, right 3, up 4

• Reflect over y, left 3, down 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

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

Tags

CCSS.HSF.BF.B.3

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

CCSS.HSG.CO.A.2

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

Which transformations are involved in the equation  $y=\frac{1}{2}\sqrt{x+1}-1$  ?

• Horizontal translation left

• Vertical compression

• Vertical translation down

• Horizontal translation right

• Vertical stretch

Tags

CCSS.HSF.BF.B.3

If  $f\left(x\right)=a\left(x-h\right)^2+k$  has a horiz. shift of -2, a vert. shift of 3 and a vert. stretch of 4, what is the equation for  $f\left(x\right)$  ?

•  $f\left(x\right)=4\left(x+2\right)^2+3$  

•  $f\left(x\right)=4\left(x-2\right)^2+3$  

•  $f\left(x\right)=3\left(x+2\right)^2+4$  

•  $f\left(x\right)=2\left(x-4\right)^2+3$  

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

f(x) = 2x

• Vertical stretch

• Vertical compression

• Vertical translation up

• Reflection over the x-axis

• No Transformation

Tags

CCSS.HSF.BF.B.3

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

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

Tags

CCSS.HSF.BF.B.3