Answer:
This is the form of (x-a)^2 +b is f(x) = (x-2)^2 +4
Step-by-step explanation:
Step 1:-
Given function f(x) = x^2 -4 x +8
[tex]f(x) = x^{2} - 2 (2 x) +4 +4[/tex]
[tex]f(x) = x^{2} -2(2 x) +(2)^2+4[/tex]
we will use formula
[tex](a-b)^{2} = a^{2} -2 a b+b^{2}[/tex]
[tex]f(x) = (x-2)^2+4[/tex]
this is the form of
[tex](x-a)^2+b[/tex]
Final answer:-
[tex]f(x) = (x-2)^2+4[/tex]
