The function of fx is modified as follows 1 it is multiplied

The function of f(x) is modified as follows: 1) it is multiplied by -3 2) x is replaced by x+3. The new function is graphed. Which of the following effects on the graph of f(x) are needed to produce the new graph? a) horizontal translation b) vertical translation c)dilation d) reflection over the x-axis e) reflection over the y-axis

Solution

Solution

   The   function   f(x)   is modified   is   as follows

1)    It   is   multiplied    by   -3  

2)    x    is   replaced   by x+3

        We have ,

                      y = f(x)

       when   the   function   is   modified as

                     y = f(x+3)

           This    is    vertical   translation

           Hence , Option    b     is    correct