Question

If (x + 2)2 + (y − 5)2 = 25 is the equation of a circle, which statement describes the circle's graph?

Answer 1

The equation of a circle:

$(x-a)^2+(y-b)^=r^2$

(a, b) - center of the circle

r - radius

We have:

$(x+2)^2+(y-5)^2=25\\\\(x-(-2))^2+(y-5)^2=5^2\\\\(-2,\ 5)\to center\\5\to radius$