The graph of the quadratic function $y = f(x)$ in the $xy$-plane inte…

Question

Prompt

The graph of the quadratic function

y = f (x)

in the

x y

-plane intersects the

x

-axis when

x = 39

and when

x = p

, where

p

is a constant. The maximum value of

y = f (x)

occurs at the point

(14, m)

, where

m

is a constant. What is the value of

p