Ellipses Practice

Ellipse - the set of all points in a plane, the SUM of whose distances from two distinct fixed points (FOCI) is constant. Standard Equation of an Ellipse (x-n)2 (-k ) = 1 (x -h ) * (-1) = 1 (Horizontal Major Axis) (Vertical Major Axis) Problem 1 Write the equation of an ellipse whose center is (2,-1), a vertical major axis of 12 and a minor axis of 10. How to Locate Foci Foci are located "c" units from the center on the MAJOR axis Foci can be calculated using the following formula: c2 = a2 - b2 or c = Vaz - bz Problem 2 Calculate the "c" value in Example 1 and use that value to determine the foci of Problem 1. Problem 3 Graph Problem 1 and label all critical parts Problem 4 Use the equation below to determine the a) center, b) major axis length, c) major axis orientation, d) minor axis length, and e) location of foci. x2 + 16y2 = 64 Problem 5 Graph the ellipse of given by the following equation by hand: x2 + 9y2 + 8x - 18y + 16 = 0 Problem Find the center, major axis length, minor axis length, and foci of the ellipse formed by the following equation: 9x2 + 4y2 - 54x + 40y - 143 = 0