$$y\ =\ \left(x\ -\ 5\right)^2$$  

$$y\ =\ x^2\ +5$$  

$$y\ =\ 5x^2$$  

$$y\ =\ \left(\ x\ +\ 5\right)^2$$  

$$y\ =\ 3x^2$$  

$$y\ =\ x^{2\ }\ +\ 3$$  

$$y\ =\ \left(x\ -\ 3\right)^2$$  

$$y\ =\ \left(x\ +\ 3\right)^2$$  

$$y\ =x^2\ +\ 1$$  

$$y\ =\ -x^2\$$  

$$y\ =\ -x^2\ -\ 1$$  

$$y\ =\ -x^2\ +\ 1$$  

$$y\ =\ \left(x\ -\ 2\right)^2$$  

$$y\ =\ 2x^2$$  

$$y\ =\ \left(x\ +\ 2\right)^2$$  

$$y\ =\ x^2\ -\ 2$$  

y = -3

x = -3

$$y\ =\ x^2\ +\ 3$$  

$$y\ =\ ax^2\ +\ bx\ +c$$  

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

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

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

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

$$y\ =\ -4x^2\ +\ 4$$  

$$y\ =\ \left(x\ -\ 4\right)^2\ +\ 4$$  

$$y\ =\ \left(x\ +\ 4\right)^2\ -\ 4$$  

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

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

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

$$y\ =\ 2\left(x\ -\ 3\right)^2\$$  

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

( -2, 3) 

( 3, -2)  

( 1.5, 0) ( 4.5, 0) 

Does not have a vertex. 

0

1

2

Not enough information

$$y\ =\ \left(x-1\right)^2\ +\ 1$$  

$$y\ =\ \left(x+1\right)^2\ -\ 1$$  

$$y\ =\ \left(x+1\right)^2\ +\ 1$$  

$$y\ =\ \left(x-1\right)^2\ -\ 1$$  

$$y\ =\ \left(x\ +2\right)^{2\ }+\ 2$$  

$$y\ =\ -\left(x\ +2\right)^{2\ }+\ 2$$  

$$y\ =\ -\left(x\ -2\right)^{2\ }+\ 2$$  

$$y\ =\ -\left(x\ +2\right)^{2\ }-\ 2$$  

x = -2

y = 2

$$y\ =\log_x81$$  

$$y\ =\ -\left(x\ -2\right)^{2\ }+\ 2$$  

( -2, -1) ( 2, 0)

( 0, -3) ( 0, -1)

Luke and Leia

( -3 , 0) ( -1. 0)

( -2, -1)

( 0, 3)

( -1, -2 )

( -3 , 0)

$$y\ =\ -1x^2\ +3$$

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

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

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

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

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

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

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

( 3, 1 )

( -1, -1) ( 3, -1)

( 1, 3)

The vertex does not exists.

( 1, -2)

( -2, -1 )

( -1, -2)

Vertex does not exist.