The effects on a graph are represented by transforming the graphs
The true statement is: (a) vertical reflection over x-axis and shifts up 4 units
The functions are given as:
[tex]\mathbf{f(x) = x}[/tex] --- the parent function
[tex]\mathbf{-f(x) +4 = x}[/tex] --- the new function
Make f(x) the subject in [tex]\mathbf{-f(x) +4 = x}[/tex]
So, we have:
[tex]\mathbf{f(x) = -x + 4}[/tex]
The "-x" implies that the function is reflected across the vertical axis
The "+4" implies that the function is then shifted up by 4 units.
Hence, the true statement is: (a) vertical reflection over x-axis and shifts up 4 units
Read more about function transformations at:
https://brainly.com/question/13810353
