Which is one of the transformations applied to the graph of f of x is equal to x squared to change it into the graph of g of x is equal to 4 x squared plus 24 x plus 30 ?

Complete the square: g(x) = 4x² + 24x + 30 = 4(x + 3)² − 6. The (x + 3) inside the square shifts the graph of f(x) = x² left 3 units, so choice D is correct. The factor of 4 makes the parabola narrower, not wider.

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