Alg_Complete

# Here is a table giving each form as well as the

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Unformatted text preview: h detail this time. 2 f ( x ) = - ( x - 10 x + 1) 2 = - ( x 2 - 10 x + 25 - 25 + 1) ( = - ( x - 5 ) - 24 2 2 æ 10 ö ç - ÷ = ( -5 ) = 25 è 2ø ) = - ( x - 5 ) + 24 2 [Return to Problems] © 2007 Paul Dawkins 215 http://tutorial.math.lamar.edu/terms.aspx College Algebra Ellipses In a previous section we looked at graphing circles and since circles are really special cases of ellipses we’ve already got most of the tools under our belts to graph ellipses. All that we really need here to get us started is then standard form of the ellipse and a little information on how to interpret it. Here is the standard form of an ellipse. ( x - h) a2 2 ( y -k) + b2 2 =1 Note that the right side MUST be a 1 in order to be in standard form. The point ( h, k ) is called the center of the ellipse. To graph the ellipse all that we need are the right most, left most, top most and bottom most points. Once we have those we can sketch in the ellipse. Here are formulas for finding these points. right most point : ( h...
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