P.G-GPE.A.3
Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.
Example Problems
The equation of an ellipse is given below.
What are the foci of this ellipse?
What are the foci of this ellipse?
The equation of an ellipse is given below.
What are the foci of this ellipse?
What are the foci of this ellipse?
The equation of an ellipse is given below.
What are the foci of this ellipse?
What are the foci of this ellipse?
Khan Academy ResourcesEquation of a hyperbola from featuresCenter & radii of ellipses from equationVertices & direction of a hyperbolaEllipse standard equation & graphEquation of an ellipse from featuresGraph & features of ellipsesFoci of a hyperbola from equationFoci of an ellipse from equationFoci of an ellipse from radiiIntro to conic sections

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