Suppose f(x) = x2 and g(x) = 7x2. Which statement best compares the graph of g(x) with the graph of f(x)?

A. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 7.
B. The graph of g(x) is the graph of f(x) shifted 7 units up.
C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 7.
D. The graph of g(x) is the graph of f(x) vertically compressed by a factor of 7.

Question

Suppose f(x) = x2 and g(x) = 7x2. Which statement best compares the graph of g(x) with the graph of f(x)?

 		A.	The graph of g(x) is the graph of f(x) vertically stretched by a factor of 7.
 		B.	The graph of g(x) is the graph of f(x) shifted 7 units up.
 		C.	The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 7.
 		D.	The graph of g(x) is the graph of f(x) vertically compressed by a factor of 7.

3mar · Answer

Let's see how they appear in the graph.

mathmale · Answer

Yes. Graph both functions on the same set of axes.  Then describe the difference in words.

3mar · Answer

Sorry for late

3mar · Answer

Take that graph that shows them together, and you deduce ....

3mar · Answer

as you can see, there is no shifting (right or left, even not up and down).
What can you notice?