Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30?

Complete the square: g(x) = 4x² + 24x + 30 = 4(x + 3)² − 6. The expression (x + 3)² shifts the graph of f(x) = x² left 3 units, so choice B is correct. The factor of 4 makes the parabola narrower, and −6 shifts it down 6 units.

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