Answer:
centre of circle (h,k) is (-3,-2)
Option D is Correct.
Explanation:
The centre of circle can be found from the equation as:

So, the steps then by Mrs Culland are:

The next step will be:

I assume there is some calculating mistake in the given options. Instead of 42 there should be 16, according to solution shown above.
The general equation of circle is

In our case:

h= -3 and k= -2, so the centre of circle (h,k) is (-3,-2)
Option D is Correct.