AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Writing Two-Variable Quadratic Inequalities

Writing Two-Variable Quadratic Inequalities Answers

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On a coordinate plane, a parabola with a dashed boundary line opens down. It goes through (negative 8, 0), has a vertex at (negative 6, 2), and goes through (negative 4, 0).

Question illustration
A
y less-than negative x squared minus 12 x minus 32
B
y less-than negative one-half x squared minus 6 x minus 16
C
y less-than negative one-half x squared + 6 x minus 16
D
y less-than negative x squared + 12 x minus 32
3

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
6

The graph shows a company’s profit. The shaded region represents values when the profits were greater than projected.

Question illustration
A
y greater-than-or-equal-to (x minus 50) squared + 625
B
y greater-than-or-equal-to negative (x + 50) squared + 625
C
y greater-than-or-equal-to (x + 50) squared + 625
D
y greater-than-or-equal-to negative (x minus 50) squared + 625
7

The graph represents the potential area of a concrete rectangle, based on length and width.

Question illustration
A
y less-than negative 2 (x + 16) squared minus 32
Option A
B
y less-than negative one-half (x minus 16) squared + 32
Option B
C
y less-than negative 2 (x minus 16) squared + 32
Option C
D
y less-than negative one-half (x + 16) squared minus 32
Option D
8

On a coordinate plane, a parabola with a solid boundary line opens down. It goes through (negative 5, 0), has a vertex at (5, 300), and goes through (15, 0).

Question illustration
A
y greater-than-or-equal-to minus 3 x squared + 30 x + 225
B
y greater-than-or-equal-to x squared + 10 x + 75
C
y greater-than-or-equal-to x squared minus 10 x minus 75
D
Option
14

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

y ≥ –3x2 + 24x + 12
Option
y ≥ 3x2 – 24x – 12
Option
y ≤ –3x2 + 24x +12
Option
y ≤ 3x2 – 24x – 12
Option

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