Question

If \(g(x) = f(x) + k\), what is the value of k based on the given graph?

A) 1
B) 2
C) 3
D) 4

Answer 1

To find the value of k based on the given graph, we need to determine the y-coordinate value where the graph of g(x) intersects the y-axis.

Step-by-step explanation:

To find the value of k based on the given graph, we need to determine the y-coordinate value where the graph of g(x) intersects the y-axis. Since the equation is given in the form g(x) = f(x) + k, we can look at the point where f(x) intersects the y-axis and add the corresponding value of k. From the graph, we can see that the point where f(x) intersects the y-axis is (0, 2). Therefore, the value of k is 2. The correct answer is B) 2.