How are the graphs of and related?
A) The graph of g(x) is the same as that of f(x), but stretched along the y-axis by a factor of 9.
B) The graph of g(x) is the same as that of f(x), but translated downward by 9 units.
C) The graph of g(x) is the same as that of f(x), but shrunk along the y-axis by a factor of 9.
D) The graph of g(x) is the same as that of f(x), but translated upward by 9 units.

Question

How are the graphs of  and  related?
A) The graph of g(x) is the same as that of f(x), but stretched along the y-axis by a factor of 9. 
B) The graph of g(x) is the same as that of f(x), but translated downward by 9 units. 
C) The graph of g(x) is the same as that of f(x), but shrunk along the y-axis by a factor of 9. 
D) The graph of g(x) is the same as that of f(x), but translated upward by 9 units.

Quizplus · Accepted Answer

The graphs of the two functions are related by a vertical compression or shrinking by a factor of 9. This can be seen by comparing the y-coordinates of corresponding points on the two graphs. For example, if we take the point (0,1) on the graph of f(x), the corresponding point on the graph of g(x) would be (0,1/9), which is 1/9th the height of the corresponding point on f(x).

How Are the Graphs of and Related