Hyperbola Introduction

A hyperbola can be described as all the points on the cartesian plane such that the difference of the distances to two fixed points is constant. These two fixed points are called the foci of the hyperbola. The hyperbola can also be described as the intersection between the double cone and a plane when the plane has a greater slope than the cone’s sides.

Course Vocabulary
• Hyperbola – the graph of the formula $\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$
• foci – two points such that the difference of the distances between any point on the hyperbola and the foci is a constant value
• h and k – the values in the formula of the hyperbola that give the hyperbola it’s location
• a and b – the values in the formula of the hyperbola that give the hyperbola it’s shape

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Lesson Content
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