AnswersPBCSD_Grade_Forgiveness_1200330_Algebra 2_S2_2024Writing Two-Variable Quadratic Inequalities

Writing Two-Variable Quadratic Inequalities Answers

10 verified answers3 views
5

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
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
8

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
B
y less-than negative one-half (x minus 16) squared + 32
C
y less-than negative 2 (x minus 16) squared + 32
D
y less-than negative one-half (x + 16) squared minus 32
9

Which inequality in vertex form represents the region less than or equal to the quadratic function with vertex (–6, 12) and includes the point (–9, 15) on the boundary?

A
y less-than-or-equal-to one-third (x minus 6) squared + 12
B
y less-than-or-equal-to one-third (x + 6) squared + 12
C
y less-than-or-equal-to 3 (x + 6) squared + 12
D
y less-than-or-equal-to 3 (x minus 6) squared + 12
10

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

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