### Home > PC3 > Chapter 8 > Lesson 8.3.2 > Problem8-104

8-104.

Graph each of the following functions.

1. $f(x)=\log_4\left(x+3\right)-2$

Rewrite the equation in exponential form.
Then make a table, choosing the $y$-values and then calculating the $x$-values.

$y+2=\log_4(x+3)$

1. $g(x)=4^{x+2}-3$

This is exponential growth. The curve is shifted $2$ units left and $3$ units down.

1. What do you notice about the functions in parts (a) and (b)? Use composition of functions to justify your conclusion.