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Unformatted text preview: f the pieces has a vertex. Note that they arent really
parabolas, they just resemble parabolas.
There are also two lines on each graph. These lines are called asymptotes and as the graphs show
as we make x large (in both the positive and negative sense) the graph of the hyperbola gets closer
and closer to the asymptotes. The asymptotes are not officially part of the graph of the hyperbola.
However, they are usually included so that we can make sure and get the sketch correct. The
point where the two asymptotes cross is called the center of the hyperbola.
There are two standard forms of the hyperbola, one for each type shown above. Here is a table
giving each form as well as the information we can get from each one. © 2007 Paul Dawkins 220 http://tutorial.math.lamar.edu/terms.aspx College Algebra Form ( x - h) ( y -k)
- 2 a2 (y -k) 2 b2 =1 b2 ( h, k ) Center 2 ( x - h)
- 2 a2 =1 ( h, k ) Opens Opens left and right Opens up and down Vertices ( h + a, k ) ( h, k + b ) and ( h, k - b ) ±...
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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.
- Spring '12