Which statements are true about the graph of the function h of x is equal to negative 5 x squared plus 60 x minus 200 ? Choose three correct answers.

Set the function equal to the parent function: -5x² + 60x - 200 = x². This gives 3x² - 30x + 100 = 0, whose discriminant is (-30)² - 4(3)(100) = -300, so the graphs do not intersect; statement A is true. The vertex occurs at x = -60/(2·-5) = 6, and h(6) = -20, so the vertex is (6, -20) and statement E is true. Since the parabola opens downward, it has a maximum, making statement C true.

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