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Can someone pls help me

Can someone pls help me-example-1

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Answer:

D. (x+6)²+(y+1)²=16

Explanation:

The equation for a circle in standard form is (x-h)²+(y-k)²=r², where (h,k) is the centre of the circle and r is the radius.

We can read from the graph that the centre is (-6,-1) and the radius is 4. Sub these in:

(x-h)²+(y-k)²=r²

(x-(-6))²+(y-(-1))²=4²

(x+6)²+(y+1)²=16

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