Answer
See graph and explanations.
Work Step by Step
a. Graph the function $y=log_3(x)$ as shown in the figure (red curve).
b. (i) Graph the function $y=2+log_3(x)$ (blue curve), and it can be seen that it can also be obtained by shifting the original curve (red) up 2 units.
(ii) Graph the function $y=log_3(x+2)$ (green curve), and it can be seen that it can also be obtained by shifting the original curve (red) units to the left.
(iii) Graph the function $y=-log_3(x)$ (purple curve), and it can be seen that it can also be obtained by reflecting the original curve (red) with respect to the x-axis.
