Which statements about the graph of the function f of x is equal to negative x squared minus 4 x plus 2 are true? Choose three correct answers.

Rewrite the function as f(x) = −(x + 2)² + 6. Its graph opens downward and has a maximum at (−2, 6), so it increases for x < −2 and decreases for x > −2. Therefore, B is true and the range is y ≤ 6, making D true. The y-intercept is f(0) = 2, which is positive, so E is true.

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