Question

I have no idea how to graph g(x)..or why f(x) is relevant..... Steps would be helpful!! I got a final twomorrow ;-;​

Answer 1

When you derive a function from another using the transformation

$g(x) = f(x+k)$

you're translating the graph of the parent function f(x) horizontally.

More specifically, you translate the graph k units to the left if k is positive, k units to the right if k in negative.

So, starting from the graph of f(x), you have that the graph of

$g(x) = f(x+3)$

is the same graph of f(x), but shifted 3 units to the left.