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