Suppose f(x) = x^2 and g(x) = (1/2x)^2. which statement best compares the graph of g(x) with the graph of f(x)?
a. the graph of g(x) is shifted 2 units to the right.
b. the graph of g(x) is horizontally stretched by a factor of 2
c. the graph of g(x) is vertically compressed by a factor of 2
d. the graph of g(x) is horizontally compressed by factor of 2

Option B

Step-by-step explanation:

If we have a function f(x) and perform the following operation on the function:

Where b is a positive real number that complies with

Then the function f (x) is stretched horizontally by a factor of .

In this problem we perform the function:

So, in this case .. This means that g(x) is the function f(x) stretched on the x axis by a factor of 2 units.

Therefore the correct option is:

B. the graph of g(x) is horizontally stretched by a factor of 2

the correct answer is the second option