Answer:
The correct option is;
B. Vertical shift down 6 units
Step-by-step explanation:
The given parameters are;
The value of the function f(x) = x
The required transformation = g(x) = f(x) - 6
Whereby the slope, m, of the function f(x) = y = x, compared to the general equation of a straight line, y = m·x + c gives, m = 1, with the y-intercept at (0, 0), we have;
The values of the x and y coordinates of the function f(x) = x are equal, Therefore, a translation of g(x) = f(x) - 6, gives a function, g(x) = x - 6, whereby the slope, m = 1 as before, but the y-intercept is shifted down to -6 from 0, which is equivalent to a vertical shift down 6 units.