Question

Write the standard equation of the circle below.

(x - 3)2 + (y - 2)2 = 2

(x - 2)2 + (y - 3)2 = 2

(x + 3)2 + (y + 2)2 = 4

(x - 3)2 + (y - 2)2 = 4

Answer 1

(x - 3)² + (y - 2)² = 2

Answer 2

(x - 3)² + (y - 2)² = 2

Explanation:

Every negative symbol in parentheses give you the OPPOSITE terms of what they really are, so you will be moving 3 blocks east up 2 blocks north. Then, we have to know the size of the radius on each side all around from the centre of the circle, which in this case is 2, not 4. Although R² is part of the formula, you do not square it because 2 is the square of 1,414213562:

2 ≈ 1,414213562²

If it was 4, 4 would be considered the square of 2.

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