Answer:
Centre of the elipse lies at (-3,0)
Explanation:
The standard form equation of an ellipse that is not centered at the origin is given as,

where centre is at (h,v) and horizontal axis has a length of 2a and vertical axis has a length of 2b.
Given, the graph of an elipse:

If we arrange this equation in such a way to resemble the standard form, we can identify the values of h, v, a and b.

From here we can conclude: h = -3 and v = 0. Therefore, the centre of the given elipse lies at (-3,0)