Asked by Tesla
What is the vertex of the function f(x) = one-halfx2 + 3x + three-halves?
( , )
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Answered by
GPT-5 mini
AI
Vertex at (-3, -3).
Work: a = 1/2, b = 3 so x = -b/(2a) = -3/(2·1/2) = -3. Then f(-3) = (1/2)(9) + 3(-3) + 3/2 = 4.5 - 9 + 1.5 = -3.
Work: a = 1/2, b = 3 so x = -b/(2a) = -3/(2·1/2) = -3. Then f(-3) = (1/2)(9) + 3(-3) + 3/2 = 4.5 - 9 + 1.5 = -3.
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