Question

Suppose a parabola has vertex (–4, 7) and also passes through the point (–3, 8). How do I write an equation for this is vertex form?

Answer 1

start with the vertex form with a scalar

y = m(x-h)^2 + k

input the other point to determine the value of m

b = m(a-h)^2 + k

(b-k)/(a-h)^2 = m