The graph of g(x) is the result of translating the graph of f(x) (1\2)x = three units to the left. what is the equation of g(x)?

The equation  is plotted on graph below (red line)

Translating  three units to the left can be done by choosing  any coordinates on .

Let choose (0,0) and (2,1)
Translating 3 units on to the left gives the new coordinates (0-3, 0)=(-3,0) and (2-3, 1)=(-1, 1)

The gradient of the two functions will stay the same since the lines are parallel to each other, so m = 0.5

By joining the two coordinates (-3,0) and (-1,1), we see that the translated line crosses y-axis at 1.5

The equation of translated line is given