Parent Function Transformations

• Left 2; Up 2
• Right 2; Down 2
• Left 2; Up 2; Reflection over x-axis
• Vertical stretch by factor of 3; Right 2; Down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

• Reflection over y-axis; Right 3; Up 1
• Right 3; Up 1
• Reflection over x-axis; Left 3; Up 1
• Reflection of x-axis; Right 3; Up 1

Tags

CCSS.HSF.BF.B.3

• f(x)=x² + 2
• f(x) = (x-2)² + 1
• f(x)= (x+2)² - 1
• f(x)= (x+2)² + 1

Tags

CCSS.HSF-IF.C.7A

What are the transformations?

y=3(x-4)²?

• Horizontal translation of -4, Vertical Translation of 3

• Horizontal translation of +4, Vertical stretch by a factor of 3

• Horizontal Translation of +4, Vertical compression by a factor of ⅓

• Horizontal Dilation by a factor of 4, Vertical translation of 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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

Tags

CCSS.HSF-IF.C.7D

Tags

CCSS.HSF.BF.B.3

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.3

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

1) ​ (a)  

2) ​ (b)  

3)​ ​ ​ (c)  

4) ​ (d)  

• parent function
• shift up
• shift down
• shift right
• shift left
• reflection across x-axis
• vertical stretch
• vertical compression

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

What is the transformation?

• g(x) = 2f(x)
• g(x) = -f(x)
• g(x) = |f(x)|
• g(x) = f(|x|)

Tags

CCSS.HSF.BF.B.3

What is the transformation?

• g(x) = f(-x)
• g(x) = -f(x)
• g(x) = |f(x)|
• g(x) = f(|x|)

Tags

CCSS.HSF.BF.B.3