Since the given function is
[tex]f(x)=(x-2)(x-1)[/tex]Multiply the 2 brackets in the right side
[tex]\begin{gathered} f(x)=(x)(x)+(x)(-1)+(-2)(x)+(-2)(-1) \\ f(x)=x^2-x-2x+2 \end{gathered}[/tex]Add the like terms
[tex]\begin{gathered} f(x)=x^2+(-x-2x)+2 \\ f(x)=x^2-3x+2 \end{gathered}[/tex]Since the greatest power of the function is 2, then
The function is a quadratic
The parent quadratic function is
[tex]f(x)=x^2[/tex]The answer is f(x) = x^2
