Question 1209794
<br>
{{{(x+4)^2/9+(y+3)^2 /4 =1}}}<br>
The equation has x^2 and y^2 terms and no xy term, so the equation is of an ellipse whose axes are horizontal and vertical.<br>
The general equations are...<br>
(1) major axis horizontal: {{{(x-h)^2/a^2+(y-k)^2/b^2=1}}}<br>
(2) major axis vertictal: {{{(x-h)^2/b^2+(y-k)^2/a^2=1}}}<br>
In both forms, the center of the ellipse is (h,k), a is the semi-major axis, and b is the semi-minor axis.<br>
Compare the given equation to those two general forms to find that the ellipse has a horizontal major axis and has...
center (-4,-3)
semi-major axis 3
semi-minor axis 2<br>