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Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

The quadratic function is graphed in the -plane above. If for all values of , which of the following could be the coordinates of point ?

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### Explanation

The fact that for all values of means that the point is the maximum of the quadratic function , so must be the vertex of the parabola. The parabola intersects the -axis at the points and , so must be halfway between and . Therefore, . Of the choices, the only one with -coordinate equal to is . Therefore, could be the coordinates of point .

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