I need to find a formula for a parabola with the vertex at (0,5) and an x-intercept at (5,0)

Question

I need to find a formula of a parabola with the vertex at (0,5) and an x-intercept at (5,0)

 

Answer 1

y = a(x - h)² + k

(0,5): h = 0, k = 5

(5,0): x = 5, y = 0

0 = a(5 - 0)² + 5

-5 = 25a

-1/5 = a

y = (-1/5)x² + 5