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Lesson: Equation of a Hyperbola Mathematics

In this lesson, we will learn how to write the equation of a hyperbola and find a hyperbola’s vertices and foci using its equation and graph.

Lesson Video

Lesson Explainer

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Lesson Worksheet

Q1:

Write the equation of the rectangular hyperbola passing through with asymptotes meeting at .

Q2:

The graph shows a sketch of the hyperbola given by the equation .

Give the coordinates of the center .

Give the coordinates of the vertices and .

Give the coordinates of the foci and .

Give the equations of the asymptotes and .

Q3:

The graph shows a sketch of the hyperbola given by the equation .

Give the coordinates of the center .

Give the coordinates of the vertices and .

Give the coordinates of the foci and .

Give the equations of the asymptotes and .

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