The graph of f(x) = x^2 - 2 is transformed to y = f(x+1) + 5.

a) State the vertex of the graph of y = f(x) and determine the vertex of the graph of the
transformed function.
b) The point (-4,14) lies on the graph y = f(x). Determine the corresponding point on the transformed function.
c) The point (0,4) lies on the graph of the transformed function. Determine the corresponding point on the graph of the original function y = f(x).