Question

a) find the center - radius form of the equation of the circle with center (5, - 4) and radius 5. b) graph the circle. a) the center - radius form of the equation of the circle is . (type an equation.) b) use the graphing tool to 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 and $r$ is the radius.

Step2: Substitute given values

Given $h = 5$, $k=-4$, and $r = 5$. Substitute into the formula: $(x - 5)^2+(y+4)^2=25$.

Answer:

$(x - 5)^2+(y + 4)^2=25$