Question 1144229
{{{drawing(47600/169,400,-10,1.9,-1.9,15,
red(arc(-4,7,6,10)),
graph(47600/169,400,-10,1.9,-1.9,15),
circle(-4,7,.1), circle(-4,11,.1), circle(-4,12,.1) )}}}

That is an ellipse with a vertical major axis, so it looks like the
number zero 0, and has this standard equation:

{{{(x-h)^2/b^2+(y-k)^2/a^2=1}}}
where
(h,k) = center = (-4,7)
    a = distance from center to vertex = 5 units
    c = distance from center to focus = 4 units.
    b = distance from center to covertex, found by c²=a²-b²
                                                   4²=5²-b²
                                                   16=25-b²
                                                   b²=25-16
                                                   b²=9
                                                    b=3
 
{{{(x-(-4))^2/3^2+(y-(7))^2/4^2=1}}}

{{{(x+4)^2/9+(y-7)^2/25=1}}}

Edwin</pre>