All of given options contain quadratic functions. One way to determine the extreme value is squaring the expression with variable x.
Option B contain the expression where you can see perfect square. Thus, equation [tex]\bf{y=-(x-2)^2+5}[/tex] (choice B) reveals its extreme value without needing to be altered.
To determine the extreme value of this equation, you should substitute x=2 (x-value that makes expression in brackets equal to zero) into the function notation:
[tex]y=-(2-2)^2+5=5.[/tex]
The extreme value of this equation has a minimum at the point (2,5).
