Functions (quadratic)

Write an equation with the vertex at the origin and a directrix of y=-3

•  $y^2=12x\$ 

•  $y^2=-12x$ 

•  $x^2=12y$ 

•  $x^2=-12y$ 

Write the equation in vertex form:

• A

• B

• C

• D

Which function has the graph shown above?

• 
• y = -3x² – 4x + 8

• 
• y = .5x² – 3x + 3

Which of the following equations shows the vertex form of a quadratic?

• y = mx + b

• y = a(x - p)(x - q)

• y = ax² + bx + c

• y = a(x - h)² + k

Write an equation in standard form for a quadratic with zeros ( $\frac{1}{2}$  , 0) and (3, 0).

•  $y=2x^2-7x-3$  

•  $y=2x^2-7x+3$ 

•  $y=2x^2+7x-3$ 

•  $y=2x^2+7x+3$ 

What form is this equation in?

 $y=3\left(x+4\right)^2-8$  

• standard form

• factored form

• vertex form

• point-slope form

Match the following quadratic forms to what they most quickly reveal.

• x-intercepts

• vertex

• y-intercept