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March 24, 2009
         If x and y are positive integers 
                 x     y
         and 4(2 ) = 2  , what is x in 
         terms of y ?        x      y
                        4(2 ) = 2
  (a) y ­ 2               2x        y
                        2 (2 ) = 2
  (b) y ­ 1
                                 y
                          2+x
                        2  = 2
  (c) y
  (d) y + 1
                        2+x = y
  (e) y + 2
                            x = y ­ 2 
Investigating Coefficients
              Quadratic Function Exploration.ggb

                        2 
         f (x) = ax + bx + c
How does a affect the graph?
         Positive:
         Negative:
How does c affect the graph? c is y­intercept
                             c moves the graph up and down
.
    0
18 ___=0
        .
 0
___ 12=0
        .­
 0
___ 5=0
Zero Product Property
(5x ­ 3)(4x + 1) = 0

                 4x + 1 = 0
5x ­ 3 = 0
                     4x = ­1
   5x = 3
                      x = ­ 1
         3
     x =                    4
         5
HW: 10­4 Wksht #1­9 (all)
    10­2 Wksht #31

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Alg March 24, 2009

  • 1. March 24, 2009 If x and y are positive integers  x y and 4(2 ) = 2  , what is x in  terms of y ? x y 4(2 ) = 2 (a) y ­ 2 2x y 2 (2 ) = 2 (b) y ­ 1 y 2+x 2  = 2 (c) y (d) y + 1 2+x = y (e) y + 2     x = y ­ 2 
  • 2. Investigating Coefficients Quadratic Function Exploration.ggb 2  f (x) = ax + bx + c How does a affect the graph? Positive: Negative: How does c affect the graph? c is y­intercept c moves the graph up and down
  • 3. . 0 18 ___=0 . 0 ___ 12=0 .­ 0 ___ 5=0 Zero Product Property
  • 4. (5x ­ 3)(4x + 1) = 0 4x + 1 = 0 5x ­ 3 = 0  4x = ­1 5x = 3 x = ­ 1 3 x = 4 5
  • 5. HW: 10­4 Wksht #1­9 (all) 10­2 Wksht #31