AnswersAlgebra III AQuadratic Inequalities

Writing Two-Variable Quadratic Inequalities Answers

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Write the inequality represented by the graph in standard form, y = ax2 + bx + c.

Answers:
Complete the values for the inequality in vertex form to describe the points that are less than the projected path. y a(x – h)2 + k a = h = k =:<
Complete the values for the inequality in vertex form to describe the points that are less than the projected path. y a(x – h)2 + k a = h = k =:–0.5
Complete the values for the inequality in vertex form to describe the points that are less than the projected path. y a(x – h)2 + k a = h = k =:1
Complete the values for the inequality in vertex form to describe the points that are less than the projected path. y a(x – h)2 + k a = h = k =:4.5
3

0.5✔ 23–19

A
0.5
B
✔ 2
C
3
D
–19
4

–2–1✔ 224

A
–2
B
–1
C
✔ 2
D
24
5

–22–12✔ –24

A
–2
B
2
C
–12
D
✔ –24
7

Which equation represents the relationship shown in the graph?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

✔ 100 ≥ 150150 ≥ 100100 ≥ 250

A
✔ 100 ≥ 150
B
150 ≥ 100
C
100 ≥ 250
9

A student writes the inequality representing the graph as y ≥ –2(x – 10)2 + 200.

Answers:
The inequality is because testing the point (5, 100) simplifies to the inequality .:100 ≥ 150
10

>✔ <≤≥

Answers:
Complete the values for the inequality in vertex form to describe the points that are less than the projected path. y a(x – h)2 + k a = h = k =:<
Complete the values for the inequality in vertex form to describe the points that are less than the projected path. y a(x – h)2 + k a = h = k =:–0.5
Complete the values for the inequality in vertex form to describe the points that are less than the projected path. y a(x – h)2 + k a = h = k =:1
Complete the values for the inequality in vertex form to describe the points that are less than the projected path. y a(x – h)2 + k a = h = k =:4.5
11

–1✔ –0.50.51

A
–1
B
✔ –0.5
C
0.5
D
1
12

0✔ 144.5

A
0
B
✔ 1
C
4
D
4.5
13

014✔ 4.5

A
0
B
1
C
4
D
✔ 4.5

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