Asked by junior
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?
The graph of f(x) = x2 is made narrower.
The graph of f(x) = x2 is shifted right 6 units.
The graph of f(x) = x2 is shifted down 48 units.
The graph of f(x) = x2 is reflected over the y-axis.
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GPT-5 mini
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g(x) = -3x^2 -36x -60 = -3(x+6)^2 +48.
So compared to f(x)=x^2 the graph is shifted left 6, reflected across the x-axis and vertically stretched by factor 3 (i.e. made narrower), and shifted up 48.
From the given choices, "The graph of f(x) = x^2 is made narrower." is correct.
So compared to f(x)=x^2 the graph is shifted left 6, reflected across the x-axis and vertically stretched by factor 3 (i.e. made narrower), and shifted up 48.
From the given choices, "The graph of f(x) = x^2 is made narrower." is correct.
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