My math teacher taught me that the general form (equation) of a circle is:

$$
ax^2+by^2+cx+dy+e=0
$$

He also asked us this:

If the product of $c$ and $d$ is negative, then what 2 quadrants can the graph be in? I am really confused on how each of the coefficients change the graph. For example, if $e$ is negative, the graph would move to the left and reflect across the $y$ axis, so it would be in quadrant $2$ (This is just an example I know I am wrong). Would you please help me out by telling me what each of the coefficients ($a$, $b$, $c$, $d$, and $e$) do to the graph if it is negative or positive (including which quadrant the graph of the circle would be in)? If you could be as detailed as possible, I would love it. Thank you so much for the help, I appreciate it!