The graph above shows the function f x the graph below shows

The graph above shows the function f (x). the graph below shows g(x). Which is a transformation of f (x). Which of these is the formula for g(x)? g(x) = 1/3*(x) g(x) = 3f(x) g(x) = f(1/3 *x) g(x) = f(3x)

Solution

Notice the points....
The original had points (-1,-1) , (0,-2) and (1,0)

These points are now (-3,-1) , (0,-2) and (3,0)

So, clearly all x-values have been multiplied by 3

So, the horizontal expansion factor is 1/3

Thus, we have g(x) = f(1/3 * x)

So, option C