Answer:
A) The graph of f(x) = x2 is made narrower.
Step-by-step explanation:
The transformed graph has equation:
[tex]g(x) = - 3 {x}^{2} - 36x - 60[/tex]
To see the transformations clearly, we need to rewrite the function in the vertex form:
[tex]g(x) = - 3( {x}^{2} + 12x) - 60[/tex]
[tex]g(x) = - 3( {x}^{2} + 12x + 36) - 60 + 3 \times 36[/tex]
[tex]g(x) = - 3( {x} + 6)^{2} + 48[/tex]
Therefore, the graph of the original function is made narrow of the multplier, 3.
The correct answer is A
