MAT136H1 Lecture Notes - Ellipse, Polar Coordinate System
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MAT136H1 Full Course Notes
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Question #4 (medium): finding the equation of ellipse from graph. Ellipse with center at ( ) is with the foci is at ( ) and vertices ( ) where and the order of and can switch depending on which direction the stretch is greater. Find an equation of the ellipse, then find its foci. The center of the ellipse is at ( ). In the horizontal direction, the radius stretch is by 4 units, and in the vertical direction the radius stretch is by 1 unit. Since the ellipse equation is then here it is. To get the foci, we need the element where , then.