Question

Given the parent function of f(x) = x^4, what change will occur when the function is changed to -f(1/2x) ?

Answer 1

We are given with a function equal to f(x) = x^4. When the function is changed to -f(1/2x), the function changes to -f(1/2x) = (1/2 x)^4 equal to (-1/16 x^4). The graph of the function should be opening the opposite way and has  a narrower plot. answer is C

Answer 2

Answer: D. Graph opens the opposite way and is wider.

Step-by-step explanation:

Let $y=f(x).$.

Then, the given equations are:

$y=x^{2}$

and

$y=-\frac{1}{16}x^4.$.

The graph for both the curves are attached. From there, we can easily check that the new function $-f(1/2x)$ will have graph in the opposite way to the parent one $f(x)$ and also wider than that.

Hence, the correct option is D. Graph opens the opposite way and is wider.