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42. Conic Sections, Circles, Constants in Exponential Functions.notebook                February 01, 2013


                      42. Conic Sections, Circles, Constants in Exponential Functions




                                                                                                            1
42. Conic Sections, Circles, Constants in Exponential Functions.notebook       February 01, 2013


              Defn: A circle is the locus of all points in a plane that are 
              equidistant from a point called the center of the circle.  


               Standard form: x2 + y2 = r2
               General form: x2 + y2 ­ r2 = 0 




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42. Conic Sections, Circles, Constants in Exponential Functions.notebook   February 01, 2013




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42. Conic Sections, Circles, Constants in Exponential Functions.notebook                                          February 01, 2013


            1. Find the standard form of the equation of a circle whose center is at (h, k) and whose radius is r.  



                                                                                                            (x, y)
                                                                                                      r
                                                                                              (h, k)




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42. Conic Sections, Circles, Constants in Exponential Functions.notebook                                     February 01, 2013


           2. Find the standard form of the equation of a circle of radius 4 whose center is at (­3, 3).  
           Then write the general form of the equation.  




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42. Conic Sections, Circles, Constants in Exponential Functions.notebook                         February 01, 2013



              Exponential Functions ­ the base is a constant and the exponent is a variable.  




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42. Conic Sections, Circles, Constants in Exponential Functions.notebook    February 01, 2013



                                                                       ­x
            3. Sketch the graph of y = 3 .




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42. Conic Sections, Circles, Constants in Exponential Functions.notebook   February 01, 2013



            4. Sketch the graph of the function.  




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42. Conic Sections, Circles, Constants in Exponential Functions.notebook   February 01, 2013



              5. Sketch the graph of the function.  




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