Find the coordinates of the turning point (vertex) of the quadratic graph: y = x² - 6x + 11.
Answer and explanation
Correct answer: A. (3, 2)
- Step 1: x-coordinate of vertex: x = -b / (2a) = -(-6) / 2 = 3. Step 2. Substitute x = 3 to find y: y = 3² - 6(3) + 11 = 9 - 18 + 11 = 2. Step 3. Vertex coordinates are (3, 2). Since a > 0, this is a minimum point. Answer: (3, 2). Why not the others: (3, -2) miscalculates y as 9 - 18 - 11; (-3, 2) uses x = -3; (2, 3) transposes coordinates.
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