Use the standard forms of the equations of an ellipse to determine the center, position of the major axis, vertices, co-vertices, and foci. Solve for c using the equation c2=a2−b2. Plot the center, vertices, co-vertices, and foci in the coordinate plane, and draw a smooth curve to form the ellipse.
Standard equation of an ellipse centered at (h,k) is (x−h)2a2+(y−k)2b2=1 with major axis 2a and minor axis 2b. Hence Centre is (3, -2), focii are (−√7+3,−2)and(√7+3,−2) . vertices (on horizontal axis) would be at (-4+3,-2) and (4+3,-2) Or (-1,-2) and (7,-2).
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Answer:
Use the standard forms of the equations of an ellipse to determine the center, position of the major axis, vertices, co-vertices, and foci. Solve for c using the equation c2=a2−b2. Plot the center, vertices, co-vertices, and foci in the coordinate plane, and draw a smooth curve to form the ellipse.
Standard equation of an ellipse centered at (h,k) is (x−h)2a2+(y−k)2b2=1 with major axis 2a and minor axis 2b. Hence Centre is (3, -2), focii are (−√7+3,−2)and(√7+3,−2) . vertices (on horizontal axis) would be at (-4+3,-2) and (4+3,-2) Or (-1,-2) and (7,-2).
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