2
QuizMultiple Choice

Writing Two-Variable Quadratic Inequalities

Question 2 • FL-1200330-Algebra 2 CR

Which statement describes the quadratic inequality in factored form that represents the relationship greater than or equal to the quadratic equation containing the point (6, –8) on the boundary and zeros –4 and 10?

Answer
A
y ≥ –0.2(x + 4)(x – 10)
B
y ≥ 0.2(x + 4)(x – 10)
C
y ≥ 0.2(x – 4)(x + 10)
D
y ≥ –0.2(x – 4)(x + 10)

Explanation

Zeros of −4 and 10 give the factors (x + 4)(x − 10). Substituting the boundary point (6, −8) gives −8 = a(6 + 4)(6 − 10) = −40a, so a = 0.2. Therefore the inequality is y ≥ 0.2(x + 4)(x − 10), which is choice B.

AI-written and checked against the verified answer.

Previous
Next