Final answer:
Knowing that f(-4) = 8 indicates that the point (-4, 8) is on the graph of y = f(x), as f(x) shows the y-value for a given x-value in the function.
Step-by-step explanation:
If it is known that f(-4) = 8, then the coordinate (x, y) that must lie on the graph of y = f(x) is (-4, 8). This is because the notation f(-4) represents the function f evaluated at x equal to -4. The value resulting from this, which is 8 in this case, corresponds to the y-value when x is -4. Therefore, the point (-4, 8) is a part of the graph of the function, representing a direct relationship between x and y as per the definition of a function. In general, if y = f(x), then for any value of x, there is a corresponding value of y, which when plotted on a graph, gives the visual representation of the function.