Answer:
Equation of the new function becomes f(x) = [tex]-\frac{x}{4}[/tex]
Step-by-step explanation:
We are given the function f(x) = x.
The first transformation applied on this f(x) is 'vertical compression by 1/4' i.e. f(x) becomes [tex]\frac{f(x)}{4}[/tex].
This transformation shrinks the graph of f(x) towards x-axis.
Now, the next transformation applied to [tex]\frac{f(x)}{4}[/tex] is 'a flip over the y-axis' i.e. 'reflection over y-axis'
i.e. [tex]\frac{f(x)}{4}[/tex] becomes [tex]-\frac{f(x)}{4}[/tex]
This transformation takes the mirror image of the function over y-axis.
Hence, the equation of the new function becomes f(x) = [tex]-\frac{x}{4}[/tex] and the final graph is shown below.
