Question

Write an equation for a circle that follows the same pattern as the other circles. Explain how your equation follows the same pattern you identified.

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Answer 1

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Answer:

(x -4)² +(y +3)³ = 4

Explanation:

Each circle is centered on (h, k) = (4, -3). Each circle has a radius 1 unit smaller than the circle just outside of it. The innermost circle shown has a radius of 3, so the next in the pattern of smaller circles will have a radius of 2. The equation for a circle centered at (h, k) with radius r is ...

(x -h)² +(y -k)² = r²

The next circle in the pattern is centered at (4, -3) and has radius 2, so its equation is ...

(x -4)² +(y +3)² = 4