32. The functions \( f \) and \( g \) are given by \( f(x) = \frac{x^2}{4} \) and \( g(x) = -\frac{1}{2}x + 2 \).
There is a point \( P \) on the graph of \( f \) for \( x \geq 0 \) at which the line tangent to the graph of \( f \) is perpendicular to the graph of \( g \). Find the coordinates of point \( P \).
