Chapter 8 Review

What is the vertex of the parabola?

• $\left(4,3\right)$

• $\left(3,4\right)$

• $\left(3,0\right)$

• $\left(4,0\right)$

What is the axis of symmetry of the parabola?

•  $x=4$ 

•  $x=3$ 

•  $x=-3$ 

•  $x=-4$ 

What is the equation of the parabola?

•  $y=-2\left(x-4\right)^2+3$ 

•  $y=-2\left(x+4\right)^2+3$ 

•  $y=-2\left(x-4\right)^2-3$ 

•  $y=-2\left(x+4\right)^2-3$ 

Compare the graph of  $y=-\frac{1}{5}x^2\$  with the graph of  $y=x^2$ . Select the statement(s) that are true.

• The graph of  $y=-\frac{1}{5}x^2\$  is wider than the graph of  $y=x^2$ .

• The graph of  $y=-\frac{1}{5}x^2\$  is narrower than the graph of  $y=x^2$ .

• The graph of  $y=-\frac{1}{5}x^2\$  opens down and the graph of  $y=x^2$  opens up.

• Both graphs open up.

Match the equation to its description.

 $y=\left(x+3\right)^2-4$  

• left 3 and down 4

• left 3 and up 4

• right 3 and down 4

• right 3 and up 4

Describe the translation of  $y=x^2+300$  compared to the parent graph of  $y=x^2$  

• up 300 units

• down 300 units

• left 300 units

• right 300 units

Describe the translation of  $y=4x^2+6$  compared to the parent graph of  $y=x^2$  

• Narrower

• Wider

• Down 6 

• Up 6

What is the equation of the parabola?

• $y=\frac{1}{2}\left(x-2\right)^2-3$

• $y=\frac{1}{2}\left(x-2\right)^2+3$

• $y=\frac{1}{2}\left(x+2\right)^2-3$

• $y=\frac{1}{2}\left(x+2\right)^2+3$

Identify the graph of  $y=-\left(x-2\right)^2$  

• 
• 

Determine the domain and range of the graph.

• Domain: all real numbers
  Range: all real numbers less than or equal to 3

• Domain: all real numbers
  Range: all real numbers greater than or equal to 3

• Domain: all real numbers
  Range: all real numbers less than or equal to 4

• Domain: all real numbers
  Range: all real numbers greater than or equal to 4