Question 5 • Algebra: Concepts and Connections
The function is f(x) = (x − 3)² − 1, which is in vertex form. Its vertex is (3, −1), and because the squared term has a positive coefficient, the parabola opens upward: it decreases until x = 3 and increases afterward. Its minimum y-value is −1, so the range is y ≥ −1; the domain is all real numbers, and the axis of symmetry is x = 3.
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