Respuesta :

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]

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