SOLUTION: Find the center, vertices, foci and asymptotes for the hyperbola x^2 - 9y^2 + 2x - 54y

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Question 1087978: Find the center, vertices, foci and asymptotes for the hyperbola x^2 - 9y^2 + 2x - 54y - 80 = 0.
Answer by ikleyn(52790)   (Show Source):
You can put this solution on YOUR website!
.
If you want to learn on how to solve these problems on your own, read the lessons
    - Hyperbola definition, canonical equation, characteristic points and elements

    - Standard equation of a hyperbola
    - Identify elements of hyperbola given by its standard equation
    - Find the standard equation of a hyperbola given by its elements

    - General equation of a hyperbola
    - Transform general equation of a hyperbola to the standard form by completing the square (*)
    - Identify elements of a hyperbola given by its general equation (*)

    - OVERVIEW of lessons on hyperbolas
in this site.

Everything is carefully explained there in all details.
Especially the lessons marked (*) are closest to your problem.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Conic sections: Hyperbolas. Definition, major elements and properties. Solved problems".

SOLUTION: Find the center, vertices, foci and asymptotes for the hyperbola x^2 - 9y^2 + 2x - 54y - 80 = 0.