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Example 3 of how to find the equation of a hyperbola

One vertex of a hyperbola is (12, 0). The distance between two focus is 26. What is the equation for the hyperbola?

In order to solve this problem we need to answer the following questions. 1. When given the coordinate of a vertex is (a, 0) what will be the standard hyperbola equation? 2. When know the distance of two focus, what do you get? 3. What is the relationship among half real axis, half imaginary axis and focus? 4. What is the standard hyperbola equation when the focus located in x-axis?