Consider the parabolas y=x^2 and y=a(x-b)^2+c, where a,b,c areall real numbers
(a) Derive an equation for a line tangent to both of theseparabolas (show all steps with a proof, assuming that sucha line exists)
(b) Assume that the doubly-tangent line has an equation y+Ax+B.Find an example of values of a,b,c (other than the ones given here)such that A,B ? Z
