The region r, is bounded by the graphs of f(x)=x^2-3, g(x)=(x-3)^2, and the line T. T is tangent to the graph of f at the point (a,a^2-3) and tangent to the graph of g at the point (b,(b-3)^2).

A) Show that a=b-3

B) Find the numerical value of a and b

C) write an equation of the line T