Final answer:
To find the standard form of the equation, we need to isolate y in the given vertex form equation. Substituting the x value into the equation, we can simplify to get the standard form.
Step-by-step explanation:
The vertex form of a parabola is given by the equation y = a(x-h)^2 + k, where (h,k) represents the coordinates of the vertex. In this case, the given vertex form is x = (-2)^2 + 36. To find the standard form of the equation, we need to isolate y on one side of the equation.
Substituting the given x value into the vertex form equation, we have y = a((-2)^2) + 36 = a(4) + 36 = 4a + 36.
Therefore, the standard form of the equation would be x = 4a + 36.