One of the following equations represents the ellipse shown below in the standard (x,y) coordinate plane. Which one?

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The equation of an ellipse:

$$ \frac{(x-h)^2}{a^2}+ \frac{(y-k)^2}{b^2} = 1 $$

\((h,k)\) represents the center. \(a\) represents the length from the center to one of the points in the horizontal direction. \(b\) represents the distance from the center to a point directly above or below. Based on the graph,

$$ (h,k) = (2,-3) $$ $$ a= 3 $$ $$ b=5 $$ $$ \frac{(x-2)^2}{(3)^2}+ \frac{(y-(-3))^2}{(5)^2} = 1 $$ $$ \boxed{ \frac{(x-2)^2}{9}+ \frac{(y+3)^2}{25} = 1 } $$