Mathematics

Problem

Consider the graph of a quadratic function

f(x)

which opens downward. The vertex

V

is located in the first quadrant, and the graph intersects the

x

-axis at two distinct positive points

A

and

B

. Determine the signs of the coefficients

a

b

, and

c

in the standard form

f(x) = ax^{2} + bx + c

, and the sign of the discriminant

D