AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Writing Two-Variable Quadratic Inequalities

Writing Two-Variable Quadratic Inequalities Answers

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After 4 seconds, a launched projectile reaches a maximum height of 60 feet. The projectile is launched from a height of 12 feet.

A
y ≥ –3x2 + 24x + 12
B
y ≥ 3x2 – 24x – 12
C
y ≤ –3x2 + 24x +12
D
y ≤ 3x2 – 24x – 12
3

On a coordinate plane, a parabola with a solid boundary line opens up. It goes through (negative 1, 0), has a vertex at (4, negative 125), and goes through (9, 0).

Question illustration
A
y greater-than-or-equal-to x squared + 8 x + 9
Option A
B
y greater-than-or-equal-to x squared minus 8 x minus 9
Option B
C
y greater-than-or-equal-to 5 x squared minus 40 x minus 45
Option C
D
y greater-than-or-equal-to 5 x squared + 40 x + 45
Option D
4

Which is the inequality in factored form that represents the region greater than or equal to the quadratic function with zeros –3.5 and 11.5 and includes the point (8.5, –54) on the boundary?

A
y greater-than-or-equal-to three-halves (x minus 3.5)(x + 11.5)
Option A
B
y greater-than-or-equal-to negative three-halves (x + 3.5)(x minus 11.5)
Option B
C
y greater-than-or-equal-to negative three-halves (x minus 3.5)(x + 11.5)
Option C
D
y greater-than-or-equal-to three-halves (x + 3.5) (x minus 11.5)
Option D

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