Chapter 2.5, Problem 136E

a. Use a graphing utility to graph $f(x)=x^2+1$.

b. Graph $f(x)=x^2+1,g(x)=f\left(\frac{1}{2}x\right),$

and $h(x)=f\left(\frac{1}{4}x\right)$ 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 $c=\frac{1}{2}$, and $c=\frac{1}{4}$ for a function of your choice.