x and y axis Reflections of Functions

Describe the transformation on  $f\left(x\right)=\left(x+2\right)^2$  

to get the function  $g\left(x\right)=\left(-x+2\right)^2$  

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

For the function     $g\left(x\right)=-x^2$  describe how we transformed it from its parent function  $f\left(x\right)=x^2$  

• Horizontal shift left

• Reflection over the x-axis

• Vertical shift down

• Vertical compression

Tags

CCSS.HSF.BF.B.3

What transformations have been applied to the parent of the function

 $f\left(x\right)=-\left(x\right)^2+3$  ? Select all that apply.

• Reflection over the x axis

• Reflection over the y axis

• Up 3

• Right 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

What transformations have been applied to the function

 $f\left(x\right)=2\left(-x+4\right)^2$  ? Select all that apply.

• X axis reflection

• Y axis reflection

• Left 4

• Vertical stretch by 2

• Horizontal shrink by 1/2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Describe the transformation on f(x) =  $x^2$  
if g(x) =  $-x^2$  

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Describe the transformation we used on the function  $f\left(x\right)=\left(x+1\right)^2$  

to get the function  $g\left(x\right)=\left(-x+1\right)^2$  

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Write a function g whose graph represents a translation 9 units down followed by a reflection in the y-axis of the graph of  $f\left(x\right)=x$  

(a)  

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

(a)  

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.8