Answer:
Both the domain and range of the transformed function are the same as those of the parent function.
Step-by-step explanation:
We have,
The function [tex]f(x)=|x|[/tex] is reflected across y-axis, which gives [tex]|-x|=|x|[/tex]
And then the function is translated to the left by 5 units.
So, the transformed function is [tex]g(x)=|x+5|[/tex]
Thus, from the graph below, we get,
Domain of both functions is the set of all real numbers.
Range of both functions is the set [tex]\{y|y\geq 0\}[/tex].
That is,
Both the domain and range of the transformed function are the same as those of the parent function.
