# Find the horizontal asymptote of f(x) = 2^-x +3. Help!?

Jul 27, 2018

Here it is.

#### Explanation:

The horizontal asymptote of any equation $g \left(x\right) = {a}^{x}$ is the $x$ axis or $y = 0$.

By adding a constant $c$ to get $g \left(x\right) + c$, the graph moves upwards by $c$, which in this case is $3$.

Thus, we get the horizontal asymptote to be $y = 3$.

Here is the actual graph

graph{2^-x+3 [-10, 10, -5, 5]}