How do I define the theorem on this question?

To determine the number of deer in a forest a forest ranger tags 280 and releases them back

What is the effect on the graph of the function f(x)=x when f(x) is replaced with -f(x)+4

Okay so i didn't get this problem petro bought 8 tickets to a basketball game he paid a total of $200 write an equation to determine whether each ticket cost $26 or $28 so i didn't get this question so yeahyou have a good day.