The function \(h\) is defined by \(h(x) = -\sqrt{x^2 + bx + c}\), whe…

Question

Prompt

The function

h

is defined by

h (x) = - x^{2} + b x + c

, where

b

and

c

are constants. In the

x y

-plane, the graph of

y = h (x)

contains the points

(2, 0)

and

(0, - 334)

. If

h (m) = 0

, what is the greatest possible value of

m