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A quiz and more about the hyperbola.
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12.3 Hyperbolas
The Anatomy of the Hyperbola
For each ellipse whose equation is given below(i) Write the equation in standard form(ii) Determine the lengths of the major and minor axes, the
coordinates of the verticies, and the coordinates of the foci.(iii) Sketch a graph of the ellipse.
The Standard Form for the Equation of a Hyperbola
Horizontal Orientation Vertical Orientation
Similarities Differences
• have the same terms• both equal 1• both are differences• both have same denominators• both have square binomials• (h, k) indicates center
• numerators have different orientation• numerators have opposite signs