Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60?

Complete the square: g(x) = −3(x² + 12x + 20) = −3(x + 6)² + 48. The factor −3 reflects the parabola over the x-axis and vertically stretches it by a factor of 3, making it narrower than y = x². It is also shifted left 6 units and up 48 units, so the correct choice is “The graph of f(x) = x² is made narrower.”

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