Answer:
(Explanation)
Step-by-step explanation:
Part A:
First, graph f(x) = x.
Then graph g(x) = x + 4.
The 4 is being added to x, so it will translate the graph to the left.
Graph A should look like this:
[Attached File]
Part B:
First, graph f(x) = x.
Then graph g(x) = x + 2.
The 2 is being added to x, so it will translate the graph to the left.
Graph B should look like this:
[Attached File]
Part C:
First, graph f(x) = x.
Then graph g(x) = x - 2.
The 2 is being subtracted from x, so it will translate the graph to the right.
Graph C should look like this:
[Attached File]
Part D:
First, graph f(x) = x
Then graph g(x) = x - 4
The 4 is being subtracted from x, so it will translate the graph to the right.
Graph D should look like this:
[Attached File]