Use the graph of the function y = –x2 + 2x + 8 to determine the solutions of the quadratic equation0 = –x2 + 2x + 8. What are the solutions of the quadratic equation0 = –x2 + 2x + 8?

The solutions are the x-values where the graph crosses the x-axis, so set y equal to 0: 0 = −x² + 2x + 8. Factoring gives 0 = −(x − 4)(x + 2), so x = 4 or x = −2. The correct choice is C, −2 and 4.

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