How do I graph the ellipse with the equation #(x−6)^2/36+(y+4)^2/16=1#?

1 Answer
AJ Speller
Sep 13, 2014

The center of the ellipse is #(6,-4)#.

The x-axis is the major axis because it has the larger denominator.

The #sqrt(36)# is #6# so you have to move 6 units right and left from the center, #(6+6,-4)# and #(6-6,-4)# for the points #(12,-4)# and #(0,-4)#.

The y-axis is the minor axis.

The #sqrt(16)# is #4# so you have to move 4 units up and down from the center, #(6,4-4)# and #(6,-4-4)#for the points #(6,0)# and #(6,-8)#.

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