Vertex form equation

Question

A quadratic function has zero (x-intercept) at -3 and a vertex of (2,5). What's the equation in vertex form

Answer 1

y = a(x - h)² + k

h = 2

k = 5

y = a(x - 2)² + 5

0 = a(-3 - 2)² + 5

0 = 25a + 5

a = -1/5

y = (-1/5)(x - 2)² + 5