6.2 Exercise 72

Explore and discuss the graphs of $f \left(x\right) = 4^{x} ,$ $g \left(x\right) = 4^{x - 2} ,$ and $h \left(x\right) = \left(\frac{1}{16}\right) 4^{x} .$ Then make a conjecture about the relationship between the graphs of the functions $b^{x}$ and $\left(\frac{1}{b^{n}}\right) b^{x}$ for any real number n and real number $b > 0.$