How to write the equation of a hyperbola given the foci and vertices

The video tutorial guides students through writing an equation for a hyperbola. It begins with setting up the problem by identifying key points such as foci, vertices, and the center. The teacher explains the importance of sketching the information and identifying the vertical transverse axis. The tutorial then covers calculating parameters A and B using the equation C^2 = A^2 + B^2. Finally, the teacher demonstrates how to write the equation by plugging in the calculated values, emphasizing the placement of A and B under the correct variables.

What does a vertical transverse axis indicate about the orientation of the graph?

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How do you plug in the values of H, K, A, and B into the final equation?

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