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April 2, 2009

 If half of a number is equal to 4 more than twice 
 the number, what is the number?
  (A)    ­ 3
  (B)    ­ 8/3
  (C)    0
  (D)    7/2
  (E)    4
Approximating Square Root Values
     1
     2
     3
     4
     5
     6           What about negatives?
     7
                         ­1
     8
     9
     10
Vertex (max. or min.)          c ­ value
     ­ b
x =   2a   (axis of symmetry)

Plug in x­value to find y




                                x ­ intercepts
    a ­ value
                                 Set y = 0
                                 Solve for x
Graphing Overview

Look at a­value            is it a         or a      

                                ­ b
Find vertex                x =   2a

                           Plug in x to find y

Either:   Find 2 points to the right of vertex
Or:       Find zeros
You Hate Factoring?
Well, One More Way to Solve Quadratics!

                            ­ b ± √b2 ­ 4ac
Quadratic Formula:     x =
                                  2a
­ Can be used for ANY quadratic equation
­ Quadratic must be in the form:
              0 = ax2 + bx + c

                y2 = 39y ­ 17
  Example:
HW:  Practice 10­6 Wksht #2­26 (1/3), 53, 55
        ­ Just find a, b, and c; set up word problems
     Practice 10­3 Wksht #36­51 (1/3)

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