The transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60 is ; A) The graph of f(x) = x2 is made narrower.
There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
The transformed graph has equation as;
g(x) = -3x^2 -36x -60
To see the transformations, we need to rewrite the function in the vertex form, that is;
g(x) = -3x^2 -36x -60
g(x) = -3(x^2 + 12x) -60
g(x) = -3(x + 6)^2 + 48
Therefore, the graph of the original function is made narrow of the multplier by 3.
Hence, The correct answer is A
Learn more about finding the graphed function here:
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