The graph of y = x² - 4x + 3 is a quadratic curve. What are the coordinates of the minimum point of this curve?

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Question

The graph of y = x² - 4x + 3 is a quadratic curve. What are the coordinates of the minimum point of this curve?

Accepted Answer

(2, -1) — Award 1 mark for correctly identifying the minimum point. The x-coordinate of the vertex is found using x = -b/(2a) = -(-4)/(2×1) = 2. Substituting x = 2: y = 4 - 8 + 3 = -1. B is incorrect — uses wrong sign when calculating y-value. C is incorrect — uses wrong sign for x-coordinate. D is incorrect — confuses the constant term with the minimum.

Answer

(4, 3)

Answer

(2, -1)

Answer

(2, 1)

Answer

(-2, -1)

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