Final answer:
To graph the function g(x)=f(x+4), shift the graph of f(x) 4 units to the left. The graph of g(x) will have a slope of 1 and will pass through the point (-4,0).
Step-by-step explanation:
To graph the function g(x)=f(x+4), we first need to understand the original function f(x)=x. The graph of f(x) is a straight line with a slope of 1, passing through the origin (0,0). The function g(x)=f(x+4) is obtained by shifting the graph of f(x) 4 units to the left. This means that every point (x,y) on the graph of f(x) is shifted to the left by 4 units to get the corresponding point (x-4,y) on the graph of g(x).
For example, if f(x) has a point (2,2), then g(x) will have the corresponding point (2-4,2) which is (-2,2). Similarly, if f(x) has a point (6,6), then g(x) will have the corresponding point (6-4,6) which is (2,6).
By shifting the graph of f(x) 4 units to the left, we obtain the graph of g(x). Hence, the graph of g(x)=f(x+4) will be a straight line with a slope of 1, passing through the point (-4,0).