Giving lots of points and brainlest what are the vertices, foci, and directrix of the equation (x-3)^2+(y+1)^2=25

The given equation represents a circle centered at (3,-1) with radius 5.

Step-by-step explanation:

The given equation is

           ....(1)

The higher degree of both variables is 2, therefore the equation does not represents a parabola because in case of parabola the degree of both variables are not same.

The given equation is in the standard form of a circle.

The standard form of a circle is

        .... (2)

Where, r is the radius of circle and (h,k) is the center of circle.

On comparing equations (1) and (2), we get

Therefore the center of the circle is (3,-1) and radius of the circle is 5.