Question

son 4 homework
$(x - 5)^2+(y + 6)^2 = 1$
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: Recall circle - standard form

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

Step2: Identify the center

For the equation $(x - 5)^2+(y + 6)^2=1$, comparing with the standard - form, we have $a = 5$ and $b=-6$. So the center of the circle is $(5,-6)$.

Step3: Identify the radius

Since $r^2 = 1$, then $r = 1$ (because $r>0$).

Answer:

The center of the circle is $(5,-6)$ and the radius is $1$. To graph it, place the center at the point $(5,-6)$ on the coordinate - plane and draw a circle with a radius of $1$ unit around it.