Web Site Design Introduction to Quadratic Functions

Skills Practice

Skills Practice for Lesson 8.1

Name _____________________________________________ Date _________________________

8

Web Site Design Introduction to Quadratic Functions

Vocabulary

Describe the similarities and differences between each pair of terms. Provide an example of each term.

1. quadratic function and linear function

2. line and curve

3. evaluate an expression and simplify an expression

? 2010 Carnegie Learning, Inc.

Chapter 8 Skills Practice 563

4. slope and rate of change

8

? 2010 Carnegie Learning, Inc.

Problem Set

Determine the rates of change between the x-values and the rates of change between the y-values of the successive ordered pairs by completing each table. State whether the rates of change are constant or not constant.

1.

Rate of

x

Change in

y

x-Values

3

4

4

1

11

5

1

20

6

1

31

Rate of Change in x-Values

3 3 3

rate of change in x-values: constant rate of change in y-values: not constant

2.

Rate of

x

Change in

y

x-Values

2

5

1

2

0

1

1

4

rate of change in x-values: rate of change in y-values:

Rate of Change in x-Values

564 Chapter 8 Skills Practice

Name _____________________________________________ Date _________________________

3.

Rate of

x

Change in

y

Rate of Change in

8

x-Values

x-Values

4

1

2

2

0

3

1

4

rate of change in x-values:

rate of change in y-values:

4.

Rate of

x

Change in

y

x-Values

4

32

3

18

2

8

1

2

rate of change in x-values: rate of change in y-values:

Rate of Change in x-Values

Complete the table of values for each equation. Create a scatter plot and connect the points with a smooth curve.

5. y 4x2 2

x

y

0

2

1

2

1

2

2

14

2

14

y (?2, 14)

14 12 10

8

6

4 (?1, 2)

2

(2, 14) (1, 2)

?8 ?6 ?4 ?2 0 2 4 6 8 x ?2 (0, ?2)

? 2010 Carnegie Learning, Inc.

Chapter 8 Skills Practice 565

6. y x2 6

8

x

y

3

1

0

1

2

7. y 3x2 4

x

y

2

1

0

1

2

8. y 2x2 1

x

y

2

1

0

1

2

? 2010 Carnegie Learning, Inc.

566 Chapter 8 Skills Practice

Name _____________________________________________ Date _________________________

9. y x2 4x 2

x

y

0

8

1

2

3

4

10. y x2 6x 10

x

y

5

4

3

2

1

11. y x2 x 1

x

y

1

0

2

2

1

? 2010 Carnegie Learning, Inc.

Chapter 8 Skills Practice 567

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