Answer:
Option B
Step-by-step explanation:
If we have a function f(x) and perform the following operation on the function:
[tex]y = f(bx)[/tex]
Where b is a positive real number that complies with [tex]0 <b <1[/tex]
Then the function f (x) is stretched horizontally by a factor of [tex]\frac{1}{b}[/tex].
In this problem we perform the function:
[tex]f(x) = x ^ 2\\\\g(x) = (\frac{1}{2}x) ^ 2[/tex]
So, in this case [tex]b = \frac{1}{2}[/tex].. 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
