Find b and c so that y = − 9 x 2 + b x + c has vertex ( 0 , 2 ).

Answer 1

f(x) = -9x^2 + bx +c with vertex (0,2)

c=2, b= 0

2 =f(0) = 0+0+2 = 2

in vertex form

f(x) = -9(x-0)^2 + 2 with (0,2) = vertex = maximum point of the parabola