Q:

Which statement describes the graph of function g?f(x) = 2xg(x) = 2x + 3A. The graph of g is 3 units above the graph of f.B. The graph of gis 3 units to the right of the graph of f.C. The graph of g is 3 units below the graph of f.D. The graph of g is 3 units to the left of the graph of f.

Accepted Solution

A:
Answer: BStep-by-step explanation: The equation of the line in Slope-intercept form is:Where "m" is the slope of the line and "b" is the intersection of the line with the y-axis.For the graph of the line, you can identify that: And for, you can identify that:Therefore, you can observe that the slope does not change, but now the line cuts the y-axis at . In other words, it was moved from to (3 units on the y-axis)Then, it is the graph of translated 3 units upward, which means that the graph of g(x) is 3 units above the graph of f(x).