The quadratic has its vertex at and

MATHEMATICS · Subjective · AoPS · Mathematics · Quadratic Equations - Part 2 · Quadratic Equations - Part 2

Problem

The quadratic

h(x) = ax^2 + bx + c

has its vertex at

(3, -10)

and

h(0) = 5

. Determine the values of

b

and

c

in terms of

a