Question

lesson 4 homework
graph the circle given below by moving the key points:
$(x - 4)^2+(y + 3)^2 = 4$
to graph the circle, drag the center point to the desired location, and then drag the radius point until the radius is the desired number of units.
provide your answer below.

Explanation:

Step1: Identify circle - center formula

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

Step2: Determine the center

For the equation $(x - 4)^2+(y+3)^2 = 4$, comparing with the standard form, we have $h = 4$ and $k=-3$. So the center of the circle is $(4,-3)$.

Step3: Determine the radius

Since $r^2 = 4$, then $r = 2$ (taking the positive square - root as radius is non - negative).

Answer:

The center of the circle is at the point $(4,-3)$ and the radius is $2$ units. On the graph, drag the center point to $(4,-3)$ and the radius point such that the distance from the center to the radius point is $2$ units.