Chapter 9 Quadratic Functions and Equations

Chapter 9 Get Ready!

• Lesson 1-2 Evaluating Expressions

  Evaluate each expression for a = − 1 , b = 3 ,  and  c = − 2 . eh equals negative 1 comma b equals 3 comma , and , c equals negative 2 .

  1. 2 a − b 2 + c 2 eh minus , b squared , plus c
  2. c 2 − a b 2 a fraction c squared , minus eh b , over 2 eh end fraction
  3. b c − 3 a 2 b c minus , 3 eh squared
  4. b 2 − 4 a c 2 a fraction b squared , minus 4 eh c , over 2 eh end fraction
  5. 5 a + 2 b ( c − 1 ) 5 eh plus 2 b open c minus 1 close
  6. c 2 + 2 a b − 1 c squared , plus 2 eh b minus 1

  Lesson 4-4 Graphing Functions

  Graph each function.

  7. y = x y equals x
  8. y = − x 2 y equals negative , x squared
  9. y = | x | y equals vertical line x vertical line
  10. y = 2 x − 5 y equals 2 x minus 5
  11. y = 2 | x | y equals 2 vertical line x vertical line
  12. y = − 4 x + 3 y equals negative 4 x plus 3

  Lesson 4-6 Evaluating Function Rules

  Evaluate each function rule for x = − 6 . x equals negative 6 .

  13. f ( x ) = − 3 x 2 f open x close equals negative , 3 x squared
  14. h ( x ) = x 2 + 6 x h open x close equals , x squared , plus 6 x
  15. g ( x ) = ( x − 1 ) 2 g open x close equals . open x minus 1 close squared
  16. f ( x ) = ( 1 + x ) 2 f open x close equals . open 1 plus x close squared
  17. g ( x ) = 2 3 x 2 g , open x close , equals , 2 thirds , x squared
  18. h ( x ) = ( 2 x ) 2 h open x close equals . open 2 x close squared

  Lessons 8-5 and 8-6 Factoring

  Factor each expression.

  19. 4 x 2 + 4 x + 1 4 x squared , plus 4 x plus 1
  20. 5 x 2 + 32 x − 21 5 x squared , plus 32 x minus 21
  21. 8 x 2 − 10 x + 3 8 x squared , minus 10 x plus 3
  22. x 2 − 18 x + 81 x squared , minus 18 x plus 81
  23. 12 y 2 + 8 y − 15 12 y squared , plus 8 y minus 15
  24. m 2 − 7 m − 18 m squared , minus 7 m minus 18

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