Answer
circle
Work Step by Step
We can see, that both x and y are on the power of two, with the same coefficients.
Therefore the equation will be a circle.
The given equation is equivalent to: $(x+3)^2+(y-2)^2=16$ Which can be easily transformed into the standard form of the equation of a circle with the centre of $(P;Q)$ and with a radius of $r$: $(x-P)^2+(y-Q)^2=r^2$ Here, it is: $(x-(-3))^2+(y-2)^2=4^2$.
Therefore the equation will be a circle with the center of $(-3;2)$ and with a radius of 4.
