Determine the quadratic function in vertex form

Question

(A) vertex at (-3,-10) passing through the point (2,-5)

Dow do I figure it out?

Answer 1

You know that a parabola with vertex at (h,k) is

y = a(x-h)+k

So, we now have

y = a(x+3) - 10

Now just plug in (2,-5) to find a.