Answer
Refer to the image below for the graph.
The graph of $f(x)$ is orange, the graph of the parent function is blue.
Work Step by Step
RECALL:
The graph of the function $f(x) = a^{x-h}$ involves a horizontal shift of $|h|$ units (to the right when $h$ is positive, to the left when $h$ is negative) of the parent function $y = a^x$.
The given function $f(x) = 10^{x+3}$ has its parent function $y = 10^x$.
The function has $h=-3$ so its graph involves a 3-unit horizontal shift to the left 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 shifting the points of the parent function 3 units to the left.
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)
