Transformations pt 2 warm up

Describe the transformation from its parent function  $g\left(x\right)=12\left|x\right|$ 

• Thinner; Vertical stretch by a factor of 12

• Wider; Vertical compression by a factor of 12

• Thinner; Horizontal stretch by a factor of 12

Describe the transformation from its parent function  $g\left(x\right)=\left|8x\right|$ 

• Thinner; Horizontal compression by a factor of 1/8

• Wider; Vertical compression by a factor of 8

• Thinner; Horizontal stretch by a factor of 8

Describe the transformation from its parent function  $g\left(x\right)=\frac{2}{3}x^2$ 

• Thinner; Vertical stretch by a factor of 2/3

• Wider; Vertical compression by a factor of 2/3

• Thinner; Horizontal stretch by a factor of 2/3

Describe the transformation from its parent function  $g\left(x\right)=\left(\frac{1}{2}x\right)^2$ 

• Thinner; Vertical stretch by a factor of 2

• Wider; Horizontal stretch by a factor of 2

• Thinner; Horizontal compression by a factor of 2

Describe the transformation from its parent function  $g\left(x\right)=\left(\frac{1}{4}x\right)^2-12$ 

• Thinner; Vertical stretch by a factor of 4 and 12 units up

• Wider; Horizontal stretch by a factor of 4 and 12 units down

• Thinner; Horizontal compression by a factor of 4 and 12 units down

Describe the transformation from its parent function  $g\left(x\right)=7\left|x-5\right|$ 

• Thinner; Vertical stretch by a factor of 7 and 5 units to the right

• Wider; Vertical compression by a factor of 7 and 5 units to the right

• Thinner; Horizontal stretch by a factor of 7 and 5 units to the left

Describe the transformation from its parent function  $g\left(x\right)=-0.5\left|x\right|+1$ 

• Vertical Reflection, (wider) vertical compression by a factor of 0.5, and 1 unit up.

• Vertical Reflection, ( thinner) horizontal stretch by a factor of 0.5, and 1 unit up.

• Vertical Reflection, (wider) horizontal stretch by a factor of 0.5, and 1 unit down.

Describe the transformation from its parent function  $g\left(x\right)=-\sqrt{7x}$ 

• Vertical Reflection, ( wider) horizontal stretchby a factor of 1/7

• Vertical Reflection, ( thinner) horizontal compression by a factor of 1/7

• Vertical Reflection, ( thinner) vertical stretch by a factor of 7

Tags

CCSS.HSF.BF.B.3

 $f\left(x\right)=x^2$  is reflected over the x- axis, shifted 6 units right, and shifted 2 units up. Which of the following represents the function of the transformation?

•  $g\left(x\right)\ =-\left(x-6\right)^2+2$  

•  $g\left(x\right)\ =\left(x-6\right)^2+2$  

•  $g\left(x\right)\ =-\left(x+6\right)^2+2$  

•  $g\left(x\right)\ =-\left(x-6\right)^2-2$  

 $f\left(x\right)=\left|x\right|$ is vertically reflected, vertically compressed by factor of 1/2, , and translated six units down. Which of the following functions represents the transformation?

•  $g\left(x\right)=-\frac{1}{2}\left|x\right|-6$  

•  $g\left(x\right)=-\frac{1}{2}\left|x-6\right|$  

•  $g\left(x\right)=-2\left|x\right|-6$  

•  $g\left(x\right)=-2\left|x+6\right|$