Answer:
B. Graph opens the same way and is wider
Step-by-step explanation:
We have [tex]f(x) = x^{4}[/tex]
Now, the function g(x) is made by changing f(x) to f(x/2),
i.e. [tex]g(x) = f(\frac{x}{2} )[/tex].
i.e. [tex]g(x) =( \frac{x}{2} )^{4}[/tex]
i.e. [tex]g(x) = \frac{x^{4} }{16}[/tex].
So, we plot both the functions [tex]f(x) = x^{4}[/tex] and [tex]g(x) = \frac{x^{4} }{16}[/tex].
Hence, option B is correct from the graph below.
