Characteristics of Quadratic Functions

Does this parabola open up or down?

    $y\ =\ -2x^2\ +\ 4x\ -\ 7$  

• Up

• Down

Does this parabola open up or down?

 $y\ =\ 3\left(x\ -\ 2\right)^2\ -\ 6$  

• Up

• Down

Does this parabola open up or down?

 $f\left(x\right)\ =\ -\frac{3}{5}\left(x\ +\ 7\right)\left(x\ -\ 3\right)$  

• Up

• Down

What form is this written in?

 $y\ =\ \frac{1}{3}x^2\ -\ 4x\ +\ 13$  

• Standard form

• Vertex form

• Intercept form

What form is this written in?

 $f\left(x\right)\ =\ 5\left(x\ -\ 3\right)^2\ -\ 1$  

• Vertex form

• Standard form

• Intercept form

What form is this written in?

 $f\left(x\right)\ =\ -0.75\left(x\ -\ 4\right)\left(x\ +\ 2\right)$  

• Intercept form

• Vertex form

• Standard form

Which of the following information is the easiest to figure out when the equation is in this form?

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

• The vertex

• The x-intercepts

• The y-intercept

Which of the following information is easiest to figure out when the equation is written in this form?

 $y\ =\ \frac{2}{9}\left(x\ +\ 3\right)^2\ +\ 7$  

• The vertex

• The x-intercepts

• The y-intercept

Which of the following information is the easiest to figure out when the equation is in this form?

 $f\left(x\right)\ =\ -2x^2\ +\ 8x\ -\ 13$  

• The y-intercept

• The x-intercepts

• The vertex

Find the vertex.

 $y\ =\ -5\left(x\ -\ 3\right)^2\ -\ 1$  

• (3, -1)

• (-3, -1)
  

• (-3, 1)

• (3, 1)