Math computation: what are the coordinates of the vertex for the parabola with equation: y=3(x+1)²-5 [y equals 3 times the quantity plus 1 end quantity squared minus 5]

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Answer:

The given equation is in the form (y = 3(x+1)^2 - 5). By comparing it with the standard vertex form of a parabola, (y = a(x-h)^2 + k), we can identify the coordinates of the vertex as ((h, k)), where (h = -1) and (k = -5). Therefore, the coordinates of the vertex for the given parabola are ((-1, -5)).

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