Respuesta :

Answer:

centre = (- 2, 0 ) , radius = [tex]\sqrt{13}[/tex]

Step-by-step explanation:

The equation of a circle in standard form is

(x - h )² + (y - k )² = r²

(h, k ) are the coordinates of the centre and r is the radius

given the equation

(x + 2)² + y² = 13 , that is

(x - (- 2) )² + (y - 0)² = ( [tex]\sqrt{13}[/tex] )² ← in standard form

with h = - 2 , k = 0 , r = [tex]\sqrt{13}[/tex] , that is

centre = (- 2, 0 ) and radius = [tex]\sqrt{13}[/tex]