Question

match the graph with the correct equation. xmin = - 10, xmax = 10, xscl = 1 ymin = - 10, ymax = 10, yscl = 1 the equation that matches the graph is (x + 6)^2+(y + 1)^2 = 1. (x - 6)^2+(y + 1)^2 = 1 (x + 6)^2+(y - 1)^2 = 1. (x - 6)^2+(y - 1)^2 = 1

Explanation:

Step1: Recall circle - equation formula

The standard form of the 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: Estimate center from graph

By observing the graph (assuming the circle is centered in the visible part), if we assume the center of the circle is in the first - quadrant. The general form of the center from the given options has the form $(h,k)$. For a circle equation $(x - h)^2+(y - k)^2 = 1$ (since $r^2=1$, so $r = 1$), we need to find the correct values of $h$ and $k$.

Step3: Analyze options

If the center of the circle is approximately $(6,1)$, substituting $h = 6$ and $k = 1$ into the standard - form equation $(x - h)^2+(y - k)^2=r^2$ with $r = 1$, we get $(x - 6)^2+(y - 1)^2=1$.

Answer:

$(x - 6)^2+(y - 1)^2=1$