Final answer:
To find the value of k, compare the graphs of f(x) and g(x) = f(x + k) and analyze the x-coordinates of the points where the graphs intersect the y-axis.
Step-by-step explanation:
To find the value of k, we need to compare the graphs of f(x) and g(x) = f(x + k). One way to do this is by looking at the x-coordinates of the points where the graphs intersect the y-axis. If the graph of f(x) intersects the y-axis at x = a, then the graph of g(x) will intersect the y-axis at x = a - k. By analyzing the graph, we can see that the graph of g(x) intersects the y-axis at -4. Therefore, we can conclude that k = -4.