Transformations of Functions

Describe the transformation:

 $f\left(x\right)=3x^2$  

• Vertical Stretch by a Factor of 3

• Vertical Compression by a Factor of 3

• Horizontal Stretch by a Factor of  $\frac{1}{3}$  

• Horizontal Compression by a Factor  $\frac{1}{3}$  

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation:

 $g\left(x\right)=\left(x-3\right)^2$  

• Shift 3 units up

• Shift 3 units down

• Shift 3 units left

• Shift 3 units right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation:

 $h\left(x\right)=x^2+7$  

• Shift 7 units down

• Shift 7 units up

• Shift 7 units left

• Shift 7 units right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Describe the transformation:

 $f\left(x\right)=\left(\frac{1}{2}x\right)^2$  

• Vertical Compression by a Factor of  $\frac{1}{2}$  

• Horizontal Stretch by a Factor of 2

• Vertical Stretch by a Factor of 2

• Horizontal Compression by a Factor of  $\frac{1}{2}$  

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation:

 $g\left(x\right)=\left(x+3\right)^2$  

• Shift 3 units up

• Shift 3 units down

• Shift 3 units left

• Shift 3 units right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.B.6

Describe the transformation: (click on two answers)

 $h\left(x\right)=\left(x-1\right)^2+5$  

• Shift 1 unit left

• Shift 1 unit right

• Shift 5 units up

• Shift 5 units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation: (click on two answers)

 $f\left(x\right)=-x^2-7$  

• Reflection over the x-axis

• Reflection over the y-axis

• Shift 7 units up

• Shift 7 units down

Tags

CCSS.HSF.BF.B.3

Describe the transformation: (click on two answers)

 $k\left(x\right)=\left(2x\right)^7-1$  

• Horizontal Stretch by a Factor of 2

• Horizontal Compression by a Factor of  $\frac{1}{2}$  

• Shift 1 unit down

• Shift 1 unit right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation: (click on two answers)

 $f\left(x\right)=\left(-0.25x\right)^2$  

• Horizontal Stretch by a Factor of 4

• Horizontal Compression by a Factor of  $0.25$  

• Reflection over the y-axis

• Reflection over the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation: (click on three answers)

 $g\left(x\right)=2\left(x-5\right)^2+1$  

• Shift 5 units right

• Shift 1 unit up

• Vertical Stretch by a Factor of 2

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2