Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x2 – 36x?
the graph of f(x) = x2 is widened.
the graph of f(x) = x2 is shifted right 4 units.
the graph of f(x) = x2 is shifted down 36 units.
the graph of f(x) = x2 is reflected over the x-axis.

The graph of f(x) =  x²  is shifted down 36 units.

Step-by-step explanation:

Given : f(x) : x² and g(x) : 9x² - 36x.

To find : Which is one of the transformations applied to the graph.

Solution : We have given that f(x) : x² and g(x) : 9x² - 36x.

By the transformation rule , F(x) - k , graph is shifted down by k units.

So, graph of f(x) = x² shifted down 36 units.

Therefore, The graph of f(x) =  x²  is shifted down 36 units.

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