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Students are shown a hyperbola and asked to identify its equation from 4 choices.

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Which of these formuale might be represented by this graph?

\n
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This graph is a hyperbola. To identify its equation you need to 

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(a) see what quadrants its branches are in. If it has a branch in the top-left, then the value of $k$ is positive. Otherwise, there is a minus sign in front of the value for $k$.

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(b) look at where its horizontal asymptote is. This value is the value of $c$ in the equation.

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