Quadratics: Factored Form to Vertex Form

Which equation represents a function written in factored form?

•  $f\left(x\right)=-9\left(x-3\right)^2+10$  
  

•  $f\left(x\right)=\frac{1}{2}x^2+4x+21$  
  

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

•  $f\left(x\right)=-5\left(x+7\right)^2+9$  
  

Which equation represents a function written in vertex form?

•  $f\left(x\right)=-9\left(x-3\right)+10$  
  

•  $f\left(x\right)=\frac{1}{2}x^2+4x+21$  
  

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

•  $f\left(x\right)=-5\left(x+7\right)^2+9$  
  

What is the formula used to find the axis of symmetry from factored form?

•  $x=\frac{-b}{2a}$  
  

•  $x=\frac{-b}{2}$  
  

•  $x=\frac{r_1+r_2}{2}$  
  

•  $x=r_1+r_2$  
  

Find the axis of symmetry of the parabola from factored form:

 $f\left(x\right)=2\left(x-3\right)\left(x+9\right)$  

• x = 3

• x = -3

• x = 6

• x = -6

Find the axis of symmetry of the parabola from factored form:

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

• x = 7

• x = -7

• x = -3.5

• x = 3.5

Given the axis of symmetry, x = 3, find the vertex of the parabola of the function below:

 $f\left(x\right)=5\left(x-14\right)\left(x+8\right)$  

• (3, 11)

• (3, 605)

• (3, 121)

• (3, 5)

What is the vertex of the parabola of the factored form function below:

 $f\left(x\right)=\left(x-4\right)\left(x+12\right)$  

• (-4, -64)

• (-4, 64)

• (-8, 16)

• (8, 16)

What is the vertex form of the 

factored form function below:

 $f\left(x\right)=\left(x-4\right)\left(x+12\right)$  

•  $f\left(x\right)=\left(x-4\right)^2+12$  
  

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

•  $f\left(x\right)=\left(x+4\right)^2-64$  
  

•  $f\left(x\right)=\left(x+4\right)-64$