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

b. Graph f(x) = x² + 1, g(x) = f(1/2x), and h(x) = f(1/4x) 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 c = 1/2, and c = 1/4 for a function of your choice.