Respuesta :
The center is located at (2, -4), and the radius is 4. Option b is correct.
Using the following equation x² - 4x + y² + 8y = -4 the center and radius to be determine.
What is a circle?
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by [tex]x^2 + y^2 + 2gx + 2fy + c = 0[/tex]
Here,
x² + y² - 4x + 8y + 4 = 0
compared with the standard equation of the circle
g = -2, f = 4 and c = 4
Center = (-g, -f)
center = (2, -4)
Radius of the circle = √g²+f²-c
= √2²+(-4)²-4
= √4+16-4
= 4
Thus, the center is located at (2, -4), and the radius is 4. Option b is correct.
Learn more about circle here:
brainly.com/question/11833983
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