Practice B 8-2 Characteristics of Quadratic Functions

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LESSON Practice B

8-2 Characteristics of Quadratic Functions

Find the zeros of each quadratic function from its graph.

1.

2.

3.

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Find the axis of symmetry of each parabola.

4.

5.

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6.

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For each quadratic function, find the axis of symmetry of its graph.

7. y = 3x2 - 6x + 4

8. y = -x 2 + 4x

9. y = 4x2 + 1 x + 3 2

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Find the vertex of each parabola.

10. y = 3x 2 - 6x - 2

11. y = 3x 2 + 12x - 10

12. y = x 2 + 2x - 35

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Original content Copyright ? by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

8-12

Holt McDougal Algebra 1

4.

x

y

-2

8

-1

2

0

0

1

2

2

8

5.

6. (0, 0) 7. upward; because a > 0.

8-2 CHARACTERISTICS OF

QUADRATIC FUNCTIONS

Practice A

1. -4 and 0

2. -2

3. no zeros

4. x = 0

5. x = -4

6. x = 5

7. 1; 8; -4; x = -4; (-4, -4)

8. 1; -10; 5; x = 5; (5, 15)

9. 2; -8; 2; x = 2; (2, -11)

Practice B 1. -6 and 1

3. 5

5. x = 3 7. x = 1

9.

x

=

-1 16

11. (-2, -22)

2. no zeros

4.

x =

7 2

6. x = -1

8. x = 2

10. (1, -5)

12. (-1, -36)

Practice C

1. -3 and 3

3. no zeros

5. x = 4

7.

x =

1 8

9.

x

=

-

3 8

11. (-2, 15)

2. -6 and 0 4. x = -3 6. x = 1

8. x = -0.75

10. (1, -3)

12.

(-

3 2

,

-

17 2

)

Review for Mastery

1. x = 3

2. x = 2

3. The axis of symmetry is x = -3.

4. The axis of symmetry is x = 0.

5. -10; 1; 10; 2; 5; x = 5

6. x = 1

7. x = 5; 5; 5; 0; y = 0; (5, 0)

8. (1, 8)

9. The vertex is (-3, -27)

Challenge

1. (-6, 0); (-3, -9); (0, 0)

2. 0 = 36a - 6b + c; -9 = 9a - 3b + c; 0 = c

3. 1; 6; 0

4. y = x2 + 6x

0 = 9a - 3b + c

5. 18 = c

; y = -2x2 + 18

0 = 9a + 3b + c

0 = 25a - 5b + c

6. 0 = 4a + 2b + c

; y = x2 + 3x - 10

- 12.25 = 2.25a - 1.5b + c

Problem Solving

1. Yes; the vertex is (6.25, 625) and 625 > 612

2. 0 and 50; x = 25

3. (50, 30)

4. B

5. H

6. C

7. G

8. D

Original content Copyright ? by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

A19

Holt McDougal Algebra 1

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