Introduction to Parabolas

What is the vertex of: $y=\left(x-3\right)^2+4$  ?

•  $\left(3,4\right)$  

•  $\left(4,3\right)$  

•  $\left(-4,-3\right)$  

•  $\left(-3,4\right)$  

Does this parabola one upward or downward?  $y=4\left(x+1\right)^2-1$  

• Upward

• Downward

Is this parabola narrow or wide? $y=-\frac{1}{8}\left(x+3\right)^2-5$   

• Narrow

• Wide

Identify the axis of symmetry for the parabola: $y=-3\left(x+2\right)^2-4$   

•  $-2$  

•  $-4$  

•  $x=-2$  

•  $x=-4$  

Identify if this parabola has a maximum or minimum: $y=3\left(x-7\right)^2-4$   

• Maximum

• Minimum 

Check all information  that holds true for the equation for the parabola: $y=\frac{1}{2}\left(x+4\right)^2-3$   (there can be more than one answer) 

• Vertex  $\left(4,-3\right)$  

• This parabola opens upward

• This parabola's shape is narrow 

• This parabola's shape  is wide 

• The axis of symmetry is  $x=-4$  

Check all information that holds true for the equation for the parabola: 
   (there can be more than one answer)  $y=-4\left(x-1\right)^2+3$  

• Vertex:  $\left(1,3\right)$  

• The parabola opens upward 

• The parabola's shape is narrow 

• The parabola has a maximum

• The parabola has a minimum

Does this parabola have a maximum or minimum?

• Maximum

• Minimum

What is the vertex from this graph?

• $\left(-4,3\right)$

• $\left(3,-4\right)$

• $\left(-3,-4\right)$

• $\left(-4,-3\right)$

What is the equation of the axis of symmetry for this parabola?

•  $x=1$  

• 1

•  $x=2$  

• 2