Question 298218
The general equation for an ellipse centered at (h,k) is,
{{{(x-h)^2/a^2+(y-k)^2/b^2=1}}}
Substituting,
{{{(x+4)^2/a^2+(y-2)^2/b^2=1}}}
You are free to choose {{{a}}} and {{{b}}}. 
The only other restriction is regarding the horizontal axis which means that
{{{a>b}}}
.
.
.
So here's one example (of many) with {{{a=2}}} and {{{b=1}}},
{{{(x+4)^2/4+(y-2)^2=1}}}
{{{ graph( 300, 300, -8, 2, -2, 8, 2+sqrt(1-(x+4)^2/4),2-sqrt(1-(x+4)^2/4)) }}}