Find explicit formulas (in terms of $x$) for the following functions, and describe in words how the graphs of the following functions differ from $f(x) = 3^x+8$. For example, the explicit form of $g(x)=f(x)+2$ would be $g(x)=(3^x+8)+2$.

a) $g(x) = 5 f(x)=$
The graph of $g(x)$ is the same as the graph of $f(x)$ vertically ? stretched compressed by .

b) $h(x) = \frac{1}{5}f(x) =$
The graph of $h(x)$ is the same as the graph of $f(x)$ vertically ? stretched compressed by .

c) $j(x) = 4f(x - 2)=$
The graph of $j(x)$ is the same as the graph of $f(x)$ shifted ? right left up down by and vertically ? stretched compressed by a factor of .

d) $k(x) = \frac{5}{7}f(x - 2)=$
The graph of $j(x)$ is the same as the graph of $f(x)$ shifted ? right left up down by and vertically ? stretched compressed by a factor of .

Hint: