Question

HELP! IM STUCK!

Find the equation of the circle centered at $(1,-4)$ with radius 3.

Write your equation in the form "$(x - h)^2 + (y - k)^2 = r^2$".

Answer 1

Answer: (x-1)^2+(y+4)^2=9

Explanation:

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Answer 2

`(x-1)^2+(y+4)^2=9`

Explanation:

The equation of a circle is given by:

`(x-h)^2+(y-k)^2=r^2`

Where (h, k) is the center and r is the radius.

The center of the circle is (1, -4).

And the radius is 3.

Substitute:

`(x-(1))^2+(y-(-4))^2=(3)^2`

Simplify. Thus, our equation is:

`(x-1)^2+(y+4)^2=9`