Circles

by: Mike P.

    To solve or graph a circle first you have to determine whether it is a circle or not. To tell if it a circle or not you have to put in circle standard form. When it is in standard form you first look at the denominator in the fractions. If the denominators are the same then it would be the first step in finding a circle.  Next you look to see if the the variables on top are both positive and squared. The last thing is to make sure the equation is equal to one.

Let's Try

Take this equation and put it in standard form                                                                                             

 x² + y² - 2x + 2y - 14 = 0
x² - 2x       y² + 2y      = 14     complete the square
x² - 2x + 1 +  y² + 2y + 1  = 14 + 1 + 1                                                                                                    (x-1)² + (y + 1)² = 16     take the square root of everything                                                                      
                                            divide everything by 16
(x - 1)² + (y + 1)² = 16
    16            16        16

Now Let's Graph It!
center = (1,-1)         opposite of top numbers
x-radius = 2  square root of bottom number x
y-radius = 2  square root of bottom number y

“The highest result of education is tolerance.”

-Helen Keller
(Self-Discipline)
 Quote came from - www.ycds.org/~rshanko/character%20quotes.htm

www.math2.org/math/algebra/conics.htm

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