a. Use a graphing utility to graph f(x)= x2 + 1.b. Graph , and in the same viewing rectan...

a. Use a graphing utility to graph f(x)= x2 + 1.

b. Graph , and in the same viewing rectangle.

c. Describe the relationship among the graphs of f, g, and h, with emphasis on different values of x for points on all three graphs that give the same y-coordinate.

d. Generalize by describing the relationship between the graph of f and the graph of g, where g(x) = f(cx) for 0 <c < 1.

e. Try out your generalization by sketching the graphs of f(cx) for c = 1, and , and for a function of your choice.