Quadratic Transformations MMA

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

How did we transform the parent function to the following?

• Up 1 unit

• Down 1 unit

• Left 1 unit

• Right 1 unit

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

What transformation happened with the following equation?

• Up 2 units, left 4 units

• Down 2 units, right 4 units

• Right 2 units, up 4 units

• Left 2 units, up 4 units

Given $f\left(x\right)=\left(x+5\right)^2+1$  how did we transform from the parent function?

• Left 5 units, up 1 unit

• Right 5 units, up 1 unit

• Up 5 units, right 1 unit

• Down 5 units, left 1 unit

Given $y=\frac{1}{3}\left(x-6\right)^2$  how did we transform the parent function?

• Vertical stretch by a factor of  $\frac{1}{3}$  ,right 6 units

• Vertical compression by a factor of  $\frac{1}{3}$  , right 6 units

• Vertical stretch by a factor of  $\frac{1}{3}$  , left 6 units

• Vertical compression by a factor of  $\frac{1}{3}$  , left 6 units

 $y=2\left(x+3\right)^2-1$  

Which transformation occurred to the following function?

• Vertical stretch by a factor of 2, right 3 units, up 1 unit

• Vertical compression by a factor of 2, left 3 units, down 1 unit

• Vertical stretch by a factor of 2, left 3 units, down 1 unit

• Vertical compression by a factor of 2, right 3 units, down 1 unit

Write the equation using the following transformations:
Reflected over the x-axis, vertical stretch by a factor of 5, and 3 units to the right

•  $f\left(x\right)=-5\left(x+3\right)^2$  

•  $f\left(x\right)=-5\left(x-3\right)^2$  

•  $f\left(x\right)=-3\left(x-5\right)^2$  

•  $f\left(x\right)=-3\left(x+5\right)^2$  

Write the equation given the following transformations:

Right 4 units, up 3 units

• $f\left(x\right)=\left(x-4\right)^2+3$

• $f\left(x\right)=\left(x+4\right)^2+3$

• $f\left(x\right)=\left(x-4\right)^2-3$

• $f\left(x\right)=\left(x+4\right)^2-3$

Write the equation using the following transformations:
vertical compression by a factor of  $\frac{1}{4}$  and 2 units to the right

•  $y=2\left(x+\frac{1}{4}\right)^2$  

•  $y=\frac{1}{4}\left(x+2\right)^2$  

•  $y=2\left(x-\frac{1}{4}\right)^2$  

•  $y=\frac{1}{4}\left(x-2\right)^2$  

Write the equation given the following transformations:

vertical stretch by a factor of 3, left 1 unit, down 2 units

• $y=2\left(x-1\right)^2-3$

• $y=2\left(x+1\right)^2+3$

• $y=3\left(x-1\right)^2-2$

• $y=3\left(x+1\right)^2-2$

Write the equation using the following transformations:
vertical compression by a factor of  $\frac{1}{2}$  and down 5 units

•  $f\left(x\right)=\frac{1}{2}x^2-5$  

•  $f\left(x\right)=\frac{1}{2}x^2+5$  

•  $f\left(x\right)=\frac{1}{2}\left(x+5\right)^2$  

•  $f\left(x\right)=\frac{1}{2}\left(x-5\right)^2$