Question

write the standard form of the equation of the circle having the given radius and center. then, graph the circle.
r = 2, center: (2,0)
equation:

Explanation:

Step1: Recall circle - equation formula

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

Step2: Substitute given values

Given $h = 2$, $k = 0$, and $r = 2$. Substitute these values into the formula: $(x - 2)^2+(y-0)^2=2^2$.

Step3: Simplify the equation

The equation simplifies to $(x - 2)^2+y^2 = 4$.

Answer:

$(x - 2)^2+y^2 = 4$