For what values of a and b does the graph of r have a

Question

Question: A family of functions is given by

r(x) = 1/(a + (x - b)²)

(a) For what values of a and b does the graph of r have a vertical asymptote? Where are the vertical asymptotes in this case?

(b) Find values of a and b so that the function r has a local maximum at the point (3, 5).