Consider the quadratic function. f(x) = px (q-x), where p and q are positive integers. The graph of y = f(x) passes through the point (6,0) A) Calculate the value of q.
The function can be represented as
y = f(x) =px(q -x)
So from the coordinate (6, 0)
y = 0 and x = 6
Substituting into the equation we have
0 = 6p(q - 6)
0 = 6pq -36p
6pq = 36p
q = 36p/ 6p
q = 6
