help! Last question i posted i forgot to put an image lol

The graphing form of the equation is:  x - h  =  a(y - k)²

where  (h, k)  =  (-4, 2)  is the vertex:  x - -4  =  a(y - 2)²   --->   x + 4  =  a(y - 2)²​  

To find the value of a, put in the coordinates of a point on the parabola -- I'm going to choose the point (-2, 0):

--->    x + 4  =  a(y - 2)²​    --->   -2 + 4  =  a(0 - 2)²​   --->   2  =  a(4)   --->   a  =  ½

The final equation is:   x + 4  =  ½·(y - 2)²​  

Multiplying this out:     x + 4  =  ½·(y² - 4y + 4)

                                    x + 4  =  ½·y² - 2y + 2

                                          x  =  ½·y² - 2y - 2