# If (-3, y) lies on the graph of y = 3^-x, then what is y?

Apr 12, 2018

$\textcolor{b l u e}{y = 27}$

#### Explanation:

We already know the value of $x$ from the coordinate, $x = - 3$.

The corresponding $y$ value is just $x = - 3$ plugged into the function:

$y = {3}^{- \left(- 3\right)} = {3}^{3} = \textcolor{b l u e}{27}$

So $\left(- 3 , 27\right)$