# How do you graph f(x)=2*3^x?

See below

#### Explanation:

Let's first notice that the graph of ${3}^{x}$ will have a $y -$ intercept of 1 (anything taken to the power of 0 is 1). Then at $x = 1 , y = 3$ - we have an exponential function's graph, so it'll soar off to the right and approach 0 from the right as $x$ becomes more and more negative.

graph{3^x}

This is modified by being multiplied by 2 - everything moves up by a power of 2. The $y -$ intercept is now at 2, $x = 1 \implies y = 6$, etc.

graph{(2)3^x}