Draw a common graph ( x - 2)2 /9+4(y + 2)2 =1, Mathematics

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Graph     ( x - 2)2 /9+4(y + 2)2  = 1

Solution

It is an ellipse. The standard form of the ellipse is

                                                        ( x - h )2 /a2 + (y - k )2 / b2 = 1

It is an ellipse with center (h, k) and the right most & left most points are distance of away from the center and the top most & bottom most of the points are a distance of b away from the center.

The ellipse for this equation has center (2, -2) and has a = 3 & b = 1 .  Note  as well that to get the b .we're actually rewriting the equation as,

                                                        ( x - 2 )2 /9 + (y + 2 )2 / (1/4) = 1

to get it in standard from.

Following is a sketch of the ellipse.

 

1902_common graph 4.png


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