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.

Answer 1

Let's see how they appear in the graph.

Answer 2

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

Answer 3

Sorry for late

Answer 4

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

Answer 5

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