The parabola with vertex (3,-2) and that passes through (4,-2.5) will have a standard form of:

Question

I can solve this equation

Answer 1

y= a(x-3)^2 -2

plug in the point (4,-2.5) to solve for a

-2.5 = a -2

a = -1/2

y =(-1/2)(x-3)^2 -2