Transformations of Quadratic Functions

Given the quadratic function. Select all transformations that apply.

 $f\left(x\right)=\ x^2+4$  

• right 4

• left 4

• up 4

• down 4

• reflection over the x-axis

Tags

CCSS.HSF.BF.B.3

Given the quadratic function. Select all transformations that apply.

 $f\left(x\right)=\ \left(x-8\right)^2+5$  

• right 5

• down 5

• left 8

• right 8

• up 5

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Given the quadratic function. Select all transformations that apply.

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

• reflection over the y-axis

• reflection over the x-axis

• horizontal shrink by 2

• horizontal shrink by  $\frac{1}{2}$  

• left 3

Tags

CCSS.HSF.BF.B.3

Given the quadratic function. Select all transformations that apply.

 $f\left(x\right)=-3x^2$  

• reflection over the x-axis

• reflection over the y-axis

• vertical shrink by  $\frac{1}{3}$  

• vertical stretch by 3

• right 3

Tags

CCSS.HSF.BF.B.3

Given the quadratic function. Select all transformations that apply.

 $f\left(x\right)=\left(-\frac{2}{3}x+9\right)^2-5$  

• reflection over the y-axis

• horizontal stretch by  $\frac{3}{2}$  

• left 9

• down 5

Tags

CCSS.HSF.BF.B.3

Given the quadratic function. Select all transformations that apply.

 $f\left(x\right)=\left(-6x\right)^2-8$  

• reflection over the y-axis

• horizontal shrink by  $\frac{1}{6}$  

• down 8

• left 8

• horizontal stretch by  $\frac{1}{6}$  

Tags

CCSS.HSF.BF.B.3

Given the quadratic function. Select all transformations that apply.

 $f\left(x\right)=\ \frac{1}{2}\left(x-7\right)^2+3$  

• vertical shrink by  $\frac{1}{2}$  

• right 7

• up 3

• down 7

• right 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Given the quadratic function. Select all transformations that apply.

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

• reflection over the x-axis

• up 4

• left 4

• down 4

• right 4

Tags

CCSS.HSF.BF.B.3

Given the quadratic function. Select all transformations that apply.

 $f\left(x\right)=-\left(\frac{3}{4}x\right)^2+12$  

• reflection over the x-axis

• horizontal stretch by  $\frac{4}{3}$  

• horizontal shrink by  $\frac{3}{4}$  

• up 12

• refelction over the y-axis

Tags

CCSS.HSF.BF.B.3

Given the quadratic function. Select all transformations that apply.

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

• reflection over the x-axis

• reflection over the y-axis

• up 5

• down 5

• right 5

Tags

CCSS.HSF.BF.B.3