Question

Given the function f(x) = x2 and k = 3, which of the following represents the graph becoming more narrow? A. f(x)+k

Answer 1

Answer:

The following which represents the graph becoming more narrow is:

                    B.    kf(x)

Step-by-step explanation:

We are given a parent function f(x) as:

          $f(x)=x^2$

and k=3

Now, we know that the transformation of the type:

          f(x)+k

shifts the graph of the function k units upward while there is no change in the shape of graph.

Similarly the transformation f(x+k) and f(x-k) shifts the graph of the original function k units to the left and  k units to the right but odes not change the shape of the function.

            Hence, the answer is:

                      B.    kf(x)

   Since, the  transformation is a vertical compression and the graph becomes more narrow.

Answer 2

The only type of transformation that can make a graph more narrow/wide is a scaling transformation. A scaling transformation involves a multiple factor. The answer to your question is B. I hope that this is the answer that you were looking for and it has helped you.