M3: Transformations of Polynomials

 $f\left(x\right)=x^2-2x+3$ 
Write a function that indicates a reflection across the y-axis.

•  $f\left(x\right)=-x^2+2x+3$  

•  $f\left(x\right)=x^2+2x+3$  

•  $f\left(x\right)=-x^2-2x+3$  

 $f\left(x\right)=x^2-2x+3$  
Write a function that indicates a translation 4 units left.

•  $f\left(x\right)=x^2-2x-1$  

•  $f\left(x\right)=x^2-2x+11$  

•  $f\left(x\right)=x^2+6x+11$  

 $f\left(x\right)=x^2-2x+3$  
Write a function that indicates a translation 5 units up.

•  $f\left(x\right)=x^2-2x+8$  

•  $f\left(x\right)=x^2-2x+5$  

•  $f\left(x\right)=\ x^2-2x-2$  

 $f\left(x\right)=x^2-2x+3$  
Write a function that indicates a vertical stretch by 3.

•  $f\left(x\right)=-3x^2+6x-9$  

•  $f\left(x\right)=3x^2-6x+9$  

•  $f\left(x\right)=9x^2-18x+27$  

Describe the transformation:

 $f\left(x\right)-1$  

• Up 1

• Down 1

• Right 1

• Left 1

Describe the transformation:

 $\frac{1}{2}f\left(x\right)$  

• Vertical Compression by 1/2

• Vertical Stretch by 2

• Up 1/2

• Right 1/2

Describe the transformation:

 $f\left(x+2\right)$  

• Up 2

• Down 2

• Right 2

• Left 2

Describe the transformation:

 $f\left(5x\right)$  

• Horizontal Compression by 1/5

• Horizontal Stretch by 5

• Left 5

• Up 5

Describe the transformation:

 $-f\left(x\right)$  

• Reflection across the x-axis

• Reflection across the y-axis

• Down 1

• Left 1

Identify the parent function:

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

•  $f\left(x\right)=\left|x\right|$  

•  $f\left(x\right)=x^2$  

•  $f\left(x\right)=\sqrt{x}$