Question

Which equation is most likely represented by the circle graphed above? (PC G.12)(1 point) 1 -5 10 O A. (x + 1)² + (y + 6)? = 16 O B. (x - 1)2 – (7-6)= 16 O c. (x - 1)2 + (5-6)2 = 16 O D. (x + 1)2 – (y + 6) = 16

Answer 1

We want to know which equation is most likely represented by the circle graphed.

For doing so, we remember the general equation of a circle:

`(x-h)^2+(y-k)^2=r^2`

In the equation, (h,k) is the center of the circle, and r is the radius. Thus, if we obtain the center and the radius of the circle, we will be able to obtain its equation. The center is on the point (-1, -6), as we see on the figure:

And the radius (the distance from the center to a point of the circle) is 4:

Replacing on the formula, we obtain that the equation that represents the circle graphed is:

`\begin{gathered} (x-(-1))^2+(y-(-6))^2=4^2 \\ (x+1)^2+(y+6)^2=16 \end{gathered}`