Question

How do you write the equation `y=(x-2)^2+ 6` in standard form?

Answer 1

Just multiply out the square of the binomial (with "FOIL") and then combine like-terms to get `y=x^2-4x+10`.

Explanation:

Using "FOIL" (First-Outside-Inside-Last) gives `(x-2)^2=(x-2)*(x-2)=x^2-4x+4`.

Therefore, `y=(x-2)^2+6=x^2-4x+4+6=x^2-4x+10`. This is "standard form".