Question 970145
{{{graph (300,300,-5,100,-5,25,-0.0025x^2 +25)}}}

The graph shows part of the parabola.  

When q=0, h(c)=25.  
0=-0.0025q^2 +25

-25=-00025q^2

25=0.0025 q^2
Take positive square root

5=.05 q

q=100

At q=100; q^2=10000; h(c)=0

The vertex is at (0,25)

I am not sure if this answers the full question, but the graph gives an idea of what is occurring.