Sketch in the same diagram the graphs of \(y = x^2\) and \(x^2 + y^2 - 4x + 2y - 4 = 0\).

What kind of a curve does the first equation give?

How about the second? Can we complete the square here to make the equation clearer?

Sketch in the same diagram the graphs of \(y = x^2\) and \(x^2 + y^2 - 4x + 2y - 4 = 0\).

What kind of a curve does the first equation give?

How about the second? Can we complete the square here to make the equation clearer?