Answer:
The domain: all real numbers;
the range: [tex][-2,\infty)[/tex]
Step-by-step explanation:
The domain and the range of the parent function [tex]y=x^2[/tex] are all real numbers and all real numbers that are greater or equal to 0.
Given graph of the function [tex]f(x)[/tex] is translated graph of the parent function 2 units down. Thus, the domain of the function [tex]f(x)[/tex] is the same as the domain of the parent function and the range is [tex]y\ge -2.[/tex]
