What is the vertex of the graph of y is equal to 3 x squared plus 2 x plus 1 ?

For y = 3x² + 2x + 1, the vertex’s x-coordinate is −b/(2a) = −2/(2·3) = −1/3. Substituting −1/3 for x gives y = 3(1/9) + 2(−1/3) + 1 = 2/3, so the vertex is (−1/3, 2/3), choice B.

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