Question 1027833
.
Find a quadratic function F(x) that takes its largest value of 200 at x=3, 
and express it in standard form F(x)= {{{ax^2+bx+c}}}. Give the values of a,b, and c.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
For example, this one:

F(x) = {{{200 - (x-3)^2}}} = {{{200 - (x^2 - 6x + 36)}}} = {{{-x^2 + 6x + 164}}},

with 

a =  -1,
b =   6,
c = 164.

Although it is not unique.
</pre>