Question

Family of Functions?

Answer 1

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).