x^2+2hxy+by^2+2gx+2fy+c=0, depends upon a, b,c,h,g,f
General equation of a conic section is ax^2+2hxy+by^2+2gx+2fy+c=0 and its shape depends upon the different values of a, h, b, g, f and c.
We can change the values of a, h, b, g, f and c using their respective slide bars and observe how the shape of the conic section changes.
We can see an equation and graph of a conic section in blue color. By seeing the equation we can figure out what the values of a, h, b, g, f and c are for this particular conic section graph.