1. The problem statement, all variables and given/known data A function f is said to symmetric about a point (p,q) if whenever the point (p-x, q-y) is on the graph of f, then the point (p + x, q - y) is also on the graph. Said differently, f is symmetric about a point (p,q) if the line through the points (p,q) and (p+x, q+y) on the graph of y=f(x) intersects the graph at the point (p-x, q-y). Show that a function symmetric about the point (p,q) satifies f(p-x) + f(p+x) = 2f(p) for all x in the interval of interest. 2. Relevant equations f(p-x) + f(p+x) = 2f(p) 3. The attempt at a solution This questions completely contrasts the questions we had been attempting in class. I have never seen anything like this. I tried taking integrals of functions I thought were symmetrical but I could really use some help getting started. Thanks.