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Answer:
(x+4)² + (y-k) ² = 16
Step-by-step explanation:
The equation of the circumference is expressed as;
(x-h) ² + (y-k) ² = r²
(h,k) is the centre
r is the radius
Given that diameter = 8
radius = 8/2
radius = 4units
Given that h = -4 and k = 2
(x-h) ² + (y-k) ² = r²
(x-(-4)) ² + (y-2) ² = 4²
(x+4)² + (y-k) ² = 16
This gives the required equation