Given the function f(x) = x2 and k = 3, which of the following represents the graph becoming more narrow? a. f(x)+k
b. kf(x)
c. f(x+k)
d. f(x-k)

The following which represents the graph becoming more narrow is:

                    B.    kf(x)

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

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.

throw the computer

step-by-step explanation:

it would open into a square depending on the type of envelope i’m not sure about the second part