following the steps given in your guide you'll have
1) (x-1)² expanded into a perfect trinomial..
-square the first term ⇒ x²
-multiply 2(x)(-1) ⇒ -2x
-square the last term 1² ⇒ 1
so you'll have, x²-2x+1 as the perfect trinomial
2&3) distribute 2 to the trinomial you just solved
2(x²-2x+1) ⇒ 2x²-4x+2
4) add 3
2x²-4x+2+3 ⇒2x²-4x+5
so the resulting equation would be:
y = 2x²-4x+5
