Which shape is defined by the equation frac{(x+5)^{2}}{9}+ frac{(y-3)^{2}}{16}=1 ?

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Accepted Answer

Step:1 ：The equation represents an ellipse centered at (-5, 3).Step:2 ：The lengths of the semi-major and semi-minor axes are 3 and 4 respectively.Step:3 ：(boxed{(-5, 3)}) is the center of the ellipse.Step:4 ：(boxed{3}) is the length of the semi-major axis.Step:5 ：(boxed{4}) is the length of the semi-minor axis.

Answer

Step: 1 ：The equation represents an ellipse centered at (-5, 3).Step: 2 ：The lengths of the semi-major and semi-minor axes are 3 and 4 respectively.Step: 3 ：(boxed{(-5, 3)}) is the center of the ellipse.Step: 4 ：(boxed{3}) is the length of the semi-major axis.Step: 5 ：(boxed{4}) is the length of the semi-minor axis.

Which shape is defined by the equation $\frac{(x+5)^{2}}{9}+$ $\frac{(y-3)^{2}}{16}=1 ?$

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