Ellipse

Example 6  Graph

Solution
The standard form of the ellipse is
                                                         
This is an ellipse with center (h, k) and the right most and left most points are a distance of a away from the center and the top most and bottom most points are a distance of b away from the center.

The ellipse for this problem has center (2, -2) and has  and .  Note that to get the b we’re really rewriting the equation as,
  
to get it into standard from. 

Here’s a sketch of the ellipse.
CommonGraphs_G6      

**ART :

Standard equation of ellipse given above shows ( a is semi major axis and b is semi minor axis ). As per Kepler laws.
Semi major axis can also be said as bigger radius or x intercept.
Semi minor axis can also be said as smaller radius or y intercept.

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