Which statement describes the quadratic inequality in factored form that represents the relationship greater than or equal to the quadratic equation containing the point open paren 6 comma negative 8 close paren on the boundary and zeros negative 4 and 10 ?

Zeros of −4 and 10 give the factors (x + 4) and (x − 10), so the equation is y = a(x + 4)(x − 10). Using the boundary point (6, −8), we get −8 = a(10)(−4) = −40a, so a = 0.2. Since the relationship is greater than or equal to the quadratic, the inequality is y ≥ 0.2(x + 4)(x − 10), which is choice B.

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