Graph the exponential function.
$$f(x)={\left(\frac{1}{4}\right)}^x$$

Step 1 ：The function given is $f(x)={\left(\frac{1}{4}\right)}^x$.

Step 2 ：This is an exponential function, so it will start at a high value when x is negative and decrease towards 0 as x increases.

Step 3 ：We can plot the values of y for different values of x to graph this function.

Step 4 ：The graph of the function is a decreasing curve that starts at a high value when x is negative and decreases towards 0 as x increases.

Step 5 ：The graph is asymptotic to the x-axis, meaning it gets infinitely close to the x-axis but never touches or crosses it.

Step 6 ：$\boxed{{\displaystyle \text{The graph of the function }f(x)={\left(\frac{1}{4}\right)}^x\text{ is a decreasing curve that starts at a high value when x is negative and decreases towards 0 as x increases. The graph is asymptotic to the x-axis.}}}$