Question

The center of the circle whose equation is (x - 2)2 + (y + 4)2 = 25 is

(2, 4)
(-2, 4)
(2, -4) . ASAP

Answer 1

Equation for a circle function is (x-a)²+(y+b)²=r², where point R(a;b) is a centre.
Answer: (2;4).

Answer 2

(2,-4)

Explanation:

The equation of a circle is:
`(x-h)^2+(y-K)^2=r^2`

X y Y are any point in the circle

h y K are the center of the circle

r is the ratio (distance between the center and any point of the circle)

If you have this equation:
`(x-2)^2+(y+4)^2=r^2`

You can replace in the basic equation of a circle in this way:

`(x-h)^2+(y-K)^2=r^2` is equal to
`(x-2)^2+(y-(-4))^2=5^2`

And you get:
`(x-2)^2+(y+4)^2=5^2`

where:

h=2

K=-4

r=5

Then, the center of the circle is (2,-4)