Answer:
Equation :
[tex](x+1)^2 + (y + 4)^2 = 9[/tex]
Step-by-step explanation:
Radius of the circle is the distance between ( -1 , -4 ) and ( -1 , -1)
[tex]radius ,r = \sqrt{(-1 -- 1)^2 + (-1 --4)^2} }= \sqrt{0+9} = 9[/tex]
Centre (h , k ) = ( -1 , -4 )
Equation of circle :
[tex](x-h)^2 + (y - k)^2 = r^2[/tex]
[tex](x+1)^2 + (y + 4)^2 = 3^2\\\\(x+1)^2 + (y + 4)^2 = 9\\\\[/tex]
