First, let's see how the graph of
[tex]y=4^x[/tex]look. We know that it will look something like
The point x = 1 is very important, the result must be 4 when x = 1. Now let's find the graph of
[tex]y=-4^x[/tex]by looking at the graph of
[tex]y=4^x[/tex]The negative means that we have a reflection over the x-axis, therefore, the graph will be like
Using a graphing calculator we can confirm the graph:
The correct answer is the last graph.