Geometry and Trigonometry practice question

Answer: A. (2, −3)

The standard form is (x − h)² + (y − k)² = r², with centre (h, k). Matching: x − 2 gives h = 2, and y + 3 is y − (−3), so k = −3. The centre is (2, −3).

Why the other answers are wrong

B. (−2, 3)

Both signs are flipped. The centre coordinates are the values that make each bracket zero: x = 2 and y = −3.

C. (2, 3)

The y-coordinate's sign is wrong: (y + 3)² is zero when y = −3, not 3.

D. (−2, −3)

The x-coordinate's sign is wrong: (x − 2)² is zero when x = 2, not −2.

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