Natch the video and then solve the problem given below. Click here to watch the video. Graph the given functions, f and g , in the same rectangular coordinate system. Describe how the graph of g is related to the graph of f . \[ \mathrm{f}(\mathrm{x})=-4 \mathrm{x} \] \( \mathrm{g}(\mathrm{x})=-4 \mathrm{x}-2 \)

We are given the functions  f(x) = –4x  and  g(x) = –4x – 2. Notice that both functions have the same slope (–4). This means that the lines are parallel. The only difference comes from the constant term. For any x, we have  g(x) = f(x) – 2. Thus, the graph of g is the graph of f shifted downward by 2 units. To elaborate: 1. Graph f(x) = –4x.  • It is a straight line through the origin with a slope of –4.  • For example, when x = 1, f(1) = –4; when x = –1, f(–1) = 4. 2. Graph g(x) = –4x – 2.  • It is also a straight line with the same slope (–4).  • Its y-intercept is –2 (i.e., when x = 0, g(0) = –2).  • For example, when x = 1, g(1) = –4 – 2 = –6; when x = –1, g(–1) = 4 – 2 = 2. Comparison: • Both lines are parallel because they have identical slopes. • g(x) is exactly 2 units below f(x) at every point. Thus, the graph of g is the graph of f shifted downward by 2 units.