Question 975217
The vertex is 4 units from the center and the minor axis is 2 units long, so the semi-minor axis is 1 unit.

a^2 will be 16 and b^2=1

{(x+1)^2/16} + {(b-3)^2)/1}=1

a^2-c^2=b^2
16-c^2=1
c^2=15
c= +/- sqrt (15).  Those are foci.

{(x+1)^2/16} + {(b-3)^2)/1}=1