Solution:-
➢ Vertex form of a parabola is
y = a(x-h)^2 + k
where
(h,k) is the vertex.
Since the problem gives you the vertex we can plug it in:
y = a(x-1)^2 + 3
Now, we plug in the given point and solve for a:
➾ -15 = a(-2-1)^2 + 3
➾ -15 = a(-3)^2 + 3
➾ -15 = a(9) + 3
➾ -18 = a(9)
➾ -2 = a.
➢ So, our equation is now:
y = -2(x-1)^2 + 3
