Answer:
(x+3)^2 + (y+2)^2 = 16
Step-by-step explanation:
hi!
so the equation of a circle with the center (h,k) and a radius r is:
(x-h)^2+(y+k)^2 = r^2
- h is the x value
- k is the y value
- r is the radius
so using your information you can plug in the given values into the "blanket" formula
which would result in:
(x--3)^2 + (y+2)^2 = 16^2 --> since there is a double negative, you can change that to a positive :)
this means that your equation is:
[tex](x+3)^{2} + (y+2)^{2} = 16^2[/tex]
and you can even simplify 16^2 = 256
end formula!
[tex](x+3)^{2} +(y+2)^{2} = 256[/tex]
