Review Unit 2 Polynomials

The axis of symmetry for a quadratic is always a vertical line.

• True

• False

List the transformations for :
Check all that apply

 $f\left(x\right)\ =\ -\left(x+1\right)^2\ -6$  

• horizontal shift left 6

• reflected over the y-axis

• horizontal shift left 1

• reflected over the x-axis

• Vertical shift  down 6

What is the vertex of

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

(a)  

What is the axis of symmetry?

 $f\left(x\right)\ =\ 2\left(x+8\right)^{2\ }-3$  

•  $x=-3$  

•  $x=-8$  

•  $y\ =\ 8$  

•  $y=-3$  

What is the y-intercept of:

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

•  $\left(0,\ -3\right)$  

•  $\left(0,1\right)$  

•  $\left(0,-2\right)$  

•  $\left(0,0\right)$  

What is the domain and range of:

 $f\left(x\right)=-\left(x+1\right)^2-3$  

•  $Domain:\ \left(-\infty,\infty\right)$  

•  $Domain:\ \left[-3,\ \infty\right)$  

•  $Range:\ \left(-\infty,\infty\right)$  

•  $Range:\ \left(-\infty,\ -3\right]$  

 $\frac{4x^3-8x^2+x+3}{2x-3}$  

•  $2x^2-x-1$  

•  $4x^2-2x-2$  

•  $2x^2-x+\frac{1}{2x-3}$  

•  $4x^2-2x-\frac{1}{2x-3}$