Question 106966
general equation is y=a(x-h)^2+k


y=2(x^2-2x)+3 ... adding 1 inside the parentheses makes (x-1)^2
...but you can't just add to one side of an equation
...and adding 1 inside the parentheses is effectively adding 2, so 2 is also subtracted


y=2(x^2-2x+1)+3-2 ... y=2(x-1)^2+1


so the vertex is (1,1)


axis of symmetry goes through the vertex


the sign of a tells direction of opening