Question

1. the equation of a circle can be changed from general form to standard form by doing which of the following? (a) completing the squares (b) solving for x (c) solving for y (d) squaring both sides

Explanation:

The general form of a circle equation is \(x^{2}+y^{2}+Dx + Ey+F = 0\). By completing the squares for the \(x\) - terms and \(y\) - terms, we can transform it into the standard form \((x - a)^{2}+(y - b)^{2}=r^{2}\), where \((a,b)\) is the center of the circle and \(r\) is the radius. Solving for \(x\) or \(y\) does not convert the general form to standard form, and squaring both sides is not the correct operation for this conversion.

Answer:

A. completing the squares