Questions: Find the center-radius form of the equation of the circle described and graph it. center (-1,0), radius 2 Type the center-radius form of the equation of the circle. (Type an equation. Simplify your answer.)

Solution Steps

The center of the circle is given as \((-1, 0)\) and the radius is given as \(2\).

The center-radius form of the equation of a circle is \((x - h)^2 + (y - k)^2 = r^2\), where \((h, k)\) is the center and \(r\) is the radius.

Substitute \(h = -1\), \(k = 0\), and \(r = 2\) into the equation: \[ (x - (-1))^2 + (y - 0)^2 = 2^2 \] Simplify the equation: \[ (x + 1)^2 + y^2 = 4 \]

Final Answer