Question

find the center - radius form of the equation of the circle described and graph it. center (-2,0), radius 5. type the center - radius form of the equation of the circle. (type an equation. simplify your answer.) graph the circle. click to enlarge graph

Explanation:

Step1: Recall circle - equation formula

The center - radius form of a circle's equation 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 $r = 5$. Substitute these values into the formula: $(x-(-2))^2+(y - 0)^2=5^2$.

Step3: Simplify the equation

$(x + 2)^2+y^2=25$.

Answer:

$(x + 2)^2+y^2=25$