Answer:
Explanation:
The graph of g(x) = x + 5 is obtained from the graph of f(x) = x through a transformation. In this case, the transformation is a vertical shift. To understand this, let's look at the graph of f(x) = x. This is a straight line that passes through the origin (0, 0) and has a slope of 1. When we add 5 to the function, we are shifting the graph vertically upward by 5 units. This means that every point on the graph of f(x) = x will be shifted upward by 5 units to get the graph of g(x) = x + 5. For example, if we take the point (2, 2) on the graph of f(x) = x, the corresponding point on the graph of g(x) = x + 5 will be (2, 7). Similarly, if we take the point (4, 4) on the graph of f(x) = x, the corresponding point on the graph of g(x) = x + 5 will be (4, 9). So, in summary, the graph of g(x) = x + 5 is obtained from the graph of f(x) = x by shifting every point on the graph vertically upward by 5 units.