## College Algebra 7th Edition

Refer to the image below for the graph. The graph of $f(x)$ is orange, the graph of the parent function is blue.
RECALL: The graph of the function $f(x) = a^{-x}$ involves a reflection about the y-axis of the parent function $y = a^x$. The given function $f(x) = 10^{-x}$ has its parent function $y = 10^x$. The graph of the given function is a reflection about the y-axis of the parent function. Thus, to graph the given function, perform the following steps: (1) Graph the parent function $y = 10^x$ by creating a table of values then connecting the points using a smooth curve. (refer to the attached table below, the graph is attached in the answer part above) (2) Draw the graph of $f(x)$by reflecting the points of the parent function about the y-axis. This can be achieved by plotting the negative (or opposite sign) of each x-value of the parent function while retaining the y-value (e.g., if (1, 10) is in the parent function, (-1, 10) is in f(x)). The graph of $f(x)$ is orange, the graph of the parent function is blue. (refer to the attached image in the answer part above for the graph)