AnswersAlgebra III AQuadratic Inequalities

Quadratic Inequalities Answers

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3

Select the inequality that represents the problem.

A
x2 – 3 x – 81 0
Option A
B
x2 – 3 x – 27 0
Option B
C
x2 – 12 x – 27 0
Option C
D
x2 – 12 x 0
Option D
5

–8, –6, –4–10, –6, 0 –6, 0, 6–6, 0, 10

A
–8, –6, –4
B
–10, –6, 0
C
–6, 0, 6
D
–6, 0, 10
6

Choose the graph of y < –x2 + 4x + 5.

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D
7

Question text not available

Answer not available
10

mc001-1.jpg

Question illustration
A
{x | x = 6}
B
{x | –6 x < 6}
C
{ }
Option C
D
{ and }
Option D
E
mc001-4.jpg
Option E
11

Question text not available

Answer:

Graph the solid, downward-opening parabola y = −x² + 2x, with vertex (1, 1) and roots 0 and 2. Test a point not on the boundary, then shade below the parabola, inside its arms.

12

all real numbers✔ the empty setx = 2 or x = 4x = –2 or x = 4

A
all real numbers
B
the empty set
C
x = 2 or x = 4
D
x = –2 or x = 4
13

In your description, did you

A
graph the parabola opening down with the vertex at (1, 1)?
B
factor the quadratic as y –1(x)(x – 2)?
C
find the roots of the parabola to be 0 and 2?
D
graph the parabola with a solid boundary line?
E
test a point that is not on the boundary?
F
shade inside the parabola?

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Quadratic Inequalities Answers — Algebra III A