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 Hyperbola: equation, intercepts and graph
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T-Maree
New Member

Australia
2 Posts

Posted - 08/30/2012 :  20:57:27  Show Profile  Reply with Quote
A hyperbola that passes through the point (1, 3) has horizontal asymptote y = -1 and vertical asymptote x = 2.

(a) Find its equation.
Hint: The equation of a hyperbola can be written in the form y = c/x-a + b

(b) Use your equation to find the x- and y-intercepts.

(c) Draw the graph of your hyperbola clearly labelling its x- and y-intercepts, and asymptotes. You may draw your graph by hand or with computer software.
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royhaas
Moderator

USA
3059 Posts

Posted - 08/31/2012 :  08:07:11  Show Profile  Reply with Quote
Start by using the hint given and the definition of asymptotes.
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