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The vertex form is a(x - h) ² + k ....where (h,k) is the vertex

-3x2 - x - 30 = -3(x2 + 1/3x + 10) . . . .now complete the square

. . . . . . . . . . = -3[(x + 1/6))2 + 935/36] . . . and rearrange

. . . . . . . . . .= -3(x + 1/6)2 - 2911/12

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