# Hyperbola graphs to determine foci and vertices

I need to graph the following hyperbola and it has been several years since I have done this. Can you give me a step by step method of how to do this?

x^2 = 8(y-1)^2+1

I do not remember how to determine the foci or the vertices. Please assume that I know nothing other than the given equation. Once I know the method I will be able to use it on other problems.

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#### Solution Preview

Please see attached document for the solution to the given problem.

Solution: First, rearrange the equation in the form:

Or:

Where:

(h,k) = coordinates of the center

a = length of major axis (the longer measurement). It is also the distance from the center to the vertices.

b = length of minor axis (the shorter ...

#### Solution Summary

This posting contains the solution to the given problems. Hyperbola graphs to determine foci and vertices are examined.