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Mark for Review

A parabola represents the graph of the function f in the xy-plane, where y = f (x). If the vertex of the parabola is (5, -4) and one of the x-intercepts is (-1.5, 0), what is the other x-intercept?

A

B

C

D


Correct Answer: D

Your Answer:

Explanation

D

The question asks for an x-intercept of a parabola. Sketch a graph using the given points, and label those points. The vertex of a parabola is on the axis of symmetry, so the axis of symmetry of this parabola is the line x = 5; add this line to the graph. The graph should look something like this:

The two x-intercepts are an equal distance from the line of symmetry. The x-coordinate of the given x-intercept is -1.5, so the distance from the line of symmetry is 5 - (-1.5) = 6.5. The x-coordinate of the other x-intercept is thus 5 + 6.5 = 11.5. The correct answer is (D).