Question

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Consider the function f(x)=10^x
and function g.
g(x)= f(x+4)
How will the graph of function g differ from the graph of function f?
A.The graph of function g is the graph of function f shifted 4 units to the right.
B. The graph of function g is the graph of function f shifted 4 units down.
C. The graph of function g is the graph of function f shifted 4 units up.
D.The graph of function g is the graph of function f shifted 4 units to the left.

Answer 1

Answer:

D. The graph of function $g$ is the graph of function $f$ shifted 4 units to the left.

Step-by-step explanation:

the function $g$ is composite function between $f$ and $x + 4$, then you can re-write $g$ as:

$g(x) = 10^{x+4}$

The transformation happened in the input, then you have an horizontal shifted and how it's adding 4 units then you go "faster" and move to left the graph.

In the image you can see what's mean sum a constant in the $x$ of a function.