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Horizontal Axis. Vertical Axis. Hyperbola - Finding the Equation. Recall that the equations for the hyperbola are given by . Hyperbola - Finding the Equation. Summary of meanings of the constants:. The center is at C(h, k) .
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Horizontal Axis Vertical Axis Hyperbola - Finding the Equation • Recall that the equations for the hyperbola are given by ...
Hyperbola - Finding the Equation • Summary of meanings of the constants: The center is at C(h, k). The vertices are a units from the center on the transverse axis. The foci are c units from the center on the transverse axis. The values of a, b, and c are related by the equation ... Slide 2
Hyperbola - Finding the Equation • Example 1: • Find the equation of the hyperbola with the given • vertices and foci ... • The first step is to plot these points on a coordinate plane. Slide 3
Hyperbola - Finding the Equation • The center will be the midpoint of the line segment joining the vertices (also the foci) ... • The distance from the center to a vertex is a = 4. • The distance from the center to a focus is c = 6. Slide 4
Hyperbola - Finding the Equation • Using the formula ... the value of b can be found. Slide 5
Hyperbola - Finding the Equation • Summary: • Since the vertices are vertical, the hyperbola has a vertical axis ... and the equation is ... Slide 6
Hyperbola - Finding the Equation • Example 2: • Find the standard form of the hyperbola given by ... • Solution: Slide 7
Hyperbola - Finding the Equation • The standard form of the hyperbola is ... Slide 8
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