Math Snap

STEP 1

1. We are given the function $f(x) = 2^x$.
2. We need to reflect this function about the $y$-axis.
3. The transformation involves modifying the input of the function.

STEP 2

1. Understand the effect of reflecting a function about the $y$-axis.
2. Apply the transformation to the function $f(x)$.
3. Write the resulting function $g(x)$.

STEP 3

Reflecting a function about the $y$-axis involves replacing $x$ with $-x$ in the function's equation.

STEP 4

Apply the transformation to the function $f(x) = 2^x$ by replacing $x$ with $-x$:
$$g(x) = 2^{-x}$$

The resulting function after reflecting $f(x) = 2^x$ about the $y$-axis is:
$$g(x) = 2^{-x}$$ The function that results from the given transformation is:
$$\boxed{2^{-x}}$$