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Question 10 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Tempestt graphs a function that has a maximum located at negative 4 comma 2 Which could be her graph?

Answer

Image with description A coordinate plane has both the x and y axes labeled from negative 10 to 10. A downward-opening parabola is plotted that passes through the point 2 comma negative 2, has a vertex at the point 4 comma 2, and passes through the point 6 comma negative 2.

Image with description A coordinate plane has both the x and y axes labeled from negative 10 to 10. A downward-opening parabola is plotted that passes through the point negative 6 comma negative 2, has a vertex at the point negative 4 comma 2, and passes through the point negative 2 comma negative 2.

Image with description A coordinate plane has both the x and y axes labeled from negative 10 to 10. An upward-opening parabola is plotted that passes through the point negative 6 comma 6, has a vertex at the point negative 4 comma 2, and passes through the point negative 2 comma 6.

Image with description A coordinate plane has both the x and y axes labeled from negative 10 to 10. An upward-opening parabola is plotted that passes through the point 2 comma 6, has a vertex at the point 4 comma 2, and passes through the point 6 comma 6.

Explanation

A maximum at (−4, 2) means the graph’s highest point, or vertex, must be at x = −4 and y = 2, and the graph must open downward. Choice A shows a downward-opening parabola with vertex (−4, 2). Choice C has the same vertex but opens upward, so that point is a minimum, not a maximum.

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