Find the foci and focal constant of this hyperbola.
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The following questions are setup as challenges to the student:
1. Explain why the graph of the equation, below is a hyperbola:
Find the foci and focal constant of this hyperbola.
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2. Consider the hyperbola with equation:
Name its vertices.
Give equations for its asymptotes.
Sketch a graph of the hyperbola. (Link to GSP)
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3. Consider the hyperbola with equation:
Identify its center.
Identify its vertices.
Identify its foci.
Identify its asymptotes.
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4. Describe the graph of the set of points (x,y) satisfying:
Describe the graph of the set of points (x,y) satisfying:
Generalize what you see in these two graphs and how this applies to any hyperbola in standard form.
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