Question

write the standard form of the equation and the general form of the equation of the circle with radius r and center (h,k). then graph the circle.
r = 1, (h,k)=(-4,-3)
the standard form of the equation of this circle is
(type your answer in standard form.)

Explanation:

Step1: Recall standard - form formula

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

Step2: Substitute given values

Given \(h=-4\), \(k = - 3\), and \(r = 1\), we substitute these into the formula: \((x-(-4))^2+(y - (-3))^2=1^2\).

Step3: Simplify the equation

\((x + 4)^2+(y + 3)^2=1\).

Answer:

\((x + 4)^2+(y + 3)^2=1\)