Question

Write an equation for the quadratic function whose graph contains the given vertex and point. Vertex: (5,-2) and point: (-4, 241)

Answer 1

(x-a)^2=4p(y-b)
(a,b)=vertex=(5,-2)
so (x-5)^2=4p(y+2)
now put (-4,241) in it
and find p
so you have equation

Answer 2

another solution is
y=a(x-5)^2+b
now put (-4,241) , (5,-2) in it
and find a,b