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Mark for Review

Which equation defines function g, if the graph of y = g(x) - 10 is shown above?

A

B

C

D


Correct Answer: C

Your Answer:

Explanation

C

The question asks for an equation that represents a graph. To find the best equation, compare features of the graph to the answer choices. The answer choices all take the form y = mx + b, in which m is the slope and b is the y-intercept. All of the answer choices have the same slope, so focus on the y-intercept. The graph shown in the question has been transformed from the graph of function g. Adding or subtracting outside the parentheses shifts the graph up or down. Thus, the given graph of g(x) - 10 is shifted 10 units down from the graph of g(x). Undo this by adding 10 to transform the given graph back to g(x). The graph of g(x) - 10 has its y-intercept at (0, -5). Move the point up 10 units to get a y-intercept of (0, 5). Eliminate (A), (B), and (D) because the equations have the wrong y-intercept. The correct answer is (C).