Question

The equation of circle is given by (x + 1)^2 +(y - 3)^2 = 25

Find the coordinates of the center of the circle

Answer 1

(-1,3)

Explanation:

(refer to attached)

recall that the center-radius form of an equation of a circle is:

(x-h)² + (y-k)² = r²,

where (h,k) are the coordinates of the center of the circle.

In our case, we are given:

(x + 1)² +(y - 3)² = 25 we can do some factoring to obtain the following:

[x - (-1) ]² + (y - 3)² = 5²

if we compare this with our equation at the top, we can see that

h = -1 and k = 3

hence the center (h,k) is (-1,3)