Question

The graph of g and the graph of f are shown. Two parallel lines graphed on a coordinate plane. Function F crosses the Y axis at four and function G crosses the Y axis at one. Which of the following describes a single transformation that compares the graph of g with the graph of f? Select all that apply. A. The graph of g is the graph of f shifted 3 units left. B. The graph of g is the graph of f shifted 3 units right. C. The graph of g is the graph of f shifted 3 units up. D. The graph of g is the graph of f shifted 3 units down. E. The graph of g is the graph of f scaled by a factor of 14 F. The graph of g is the graph of f scaled by a factor of 4.

Answer 1

Step-by-step explanation:

Answer 2

The graph of g is a shift of 3 units down from the graph of f.

Step-by-step explanation:

The graph of g and the graph of f are shown on a coordinate plane. The graph of f crosses the Y-axis at four and the graph of g crosses the Y-axis at one. To compare the two graphs, we need to determine how they are related to each other. Since the Y-axis is the vertical axis, a shift left or right corresponds to a change in the x-coordinate, not the y-coordinate. Therefore, options A and B can be ruled out.

Option C states that the graph of g is a shift of 3 units up from the graph of f. However, this is not accurate based on the information provided. The graphs intersect the Y-axis at different points, so the vertical translation is not 3 units up.

Option D states that the graph of g is a shift of 3 units down from the graph of f. This is correct because the graph of g crosses the Y-axis at one, which is three units below the Y-intercept of four for the graph of f. Therefore, option D is true.

Options E and F describe scaling, which changes the overall size of the graph. However, based on the information provided, there is no mention of scaling, so options E and F can also be ruled out.