Mathlamaredutermsaspx college algebra miscellaneous

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Unformatted text preview: ( -1, -2 ) bottom most point : ( -1, -4 ) Here is this ellipse. [Return to Problems] Finally, let’s address a comment made at the start of this section. We said that circles are really nothing more than a special case of an ellipse. To see this let’s assume that a = b . In this case we have, ( x - h) a2 © 2007 Paul Dawkins 2 ( y -k) + a2 218 2 =1 College Algebra Note that we acknowledged that a = b and used a in both cases. Now if we clear denominators we get, ( x - h) + ( y - k ) 2 2 = a2 This is the standard form of a circle with center ( h, k ) and radius a. So, circles really are special cases of ellipses. © 2007 Paul Dawkins 219 College Algebra Hyperbolas The next graph that we need to look at is the hyperbola. There are two basic forms of a hyperbola. Here are examples of each. Hyperbolas consist of two vaguely parabola shaped pieces that open either up and down or right and left. Also, just like parabolas each o...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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