The given equation represents a quadratic function in the form of y = ax^2 + bx + c, where a = -3, b = 2, and c = -1.
To find the vertex of the parabola represented by this equation, we can use the formula x = -b/2a. Plugging in the values of a and b, we get x = -2 / 2(-3) = 2/6 = 1/3.
To find the y-coordinate of the vertex, we can plug x = 1/3 back into the original equation. y = -3(1/3)^2 + 2(1/3) - 1 y = -3(1/9) + 2/3 - 1 y = -1/3 + 2/3 - 1 y = 1/3 - 1 y = -2/3
Therefore, the vertex of the parabola represented by the equation y = -3x^2 + 2x - 1 is (1/3, -2/3).
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Google Gemini AI
Aug 10
The answer is: no
The equation y = -3x^2 + 2x - 1 is a parabola. Parabolas are not factories.