The graph of v(x) = 3x - 7/2 is a straight line with the same slope as f(x) = 3x, but shifted down by 7/2 units.
The function v(x) = 3x - 7/2 is a linear function, meaning its graph is a straight line. The slope of the line is 3 and the y-intercept is -7/2.
To compare it to the graph of f(x) = 3x, we can first note that they have the same slope. This means the lines will be parallel. The only difference is the y-intercept. The y-intercept of f(x) = 3x is 0, while the y-intercept of v(x) = 3x - 7/2 is -7/2. This means the line of v(x) will be shifted down by 7/2 units compared to the line of f(x).
To summarize, the graph of v(x) = 3x - 7/2 is a straight line with a slope of 3 and a y-intercept of -7/2. It is parallel to the graph of f(x) = 3x, but shifted down by 7/2 units.