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    In addition, Algebra 2 is the first math class in a student's math career that introduces topics that are more complex and less concrete, like complex numbers or logarithms, which makes Algebra 2 harder to grasp than other math classes whose concepts are more straight forward and easier to visualize.
  • What grade level is Algebra 2?

    Students typically learn Algebra II in 11th grade. An Algebra II curriculum usually builds on knowledge and skills that are gained in Algebra I and reinforced in Geometry, including relationships between quantities through equations and inequalities, graphing of functions, and trigonometry.
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  • Essential Skills for Algebra 2. Simplify radicals (without a calculator)Working with square roots.Operations with fractions (without a calculator)Adding fractions with unlike denominators.
4-1 Skills Practice Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Lesson 4-1

NAME DATE PERIOD

PDF Pass

Chapter 4 7 Glencoe Algebra 2

4-1Skills Practice

Graphing Quadratic Functions

Complete parts a-c for each quadratic function.

a. Find the y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph the function.

1. f(x) = -2x

2. f(x) = x

- 4x + 4 3. f(x) = x - 6x + 8 Determine whether each function has a maximum or a minimum value, and find that value. Then state the domain and range of the function.

4. f(x) = 6x

5. f(x) = -8x

6. f(x) = x2

+ 2x

7. f(x) = -2x

+ 4x - 3 8. f(x) = 3x + 12x + 3 9. f(x) = 2x + 4x + 1

10. f(x) = 3x

11. f(x) = x

+ 1 12. f(x) = -x + 6x - 15

13. f(x) = 2x

- 11 14. f(x) = x - 10x + 5 15. f(x) = -2x + 8x + 7xO f(x) (0, 0) 2-44 2xO 2-246 f(x) (2, 0) (3, -1) f(x) 246

0; x = 0; 0 4; x = 2; 2 8; x = 3; 3

x-2-101 2

8-20-2-2x-202 46

)16 4 0 4 16x02 3 4 6 )8 0 108
max.; -1; min.; -9; min.; -1; D = {all real numbers}; D = {all real numbers}; D = {all real numbers}; {f(x)? f(x) ≥ -9} R = {f(x) f(x) ≥ -1} min.; 0; max.; 0; min.; -1; D = {all real numbers}; D = {all real numbers}; D = {all real numbers};

R = {f(x)

f(x) ≥ 0} R = {f(x) f(x) ≥ -1} min.; 0; min.; 1; max.; -6; D = {all real numbers}; D = {all real numbers}; D = {all real numbers};

R = {f(x)

f(x) ≥ 0} R = {f(x) f(x) ≥ 1} R = {f(x)? min.; -11; min.; -20; max.; 15; D = {all real numbers}; D = {all real numbers}; D = {all real numbers};

R = {f(x)

f(x) ≥ -11} R = {f(x) f(x) ≥ -20} R = {f(x)

001_010_ALG2_A_CRM_C04_CR_660785.indd 7001_010_ALG2_A_CRM_C04_CR_660785.indd 712/20/10 9:06 PM12/20/10 9:06 PM

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