Question 738451
To get from vertex form

y= a(x-h)^2 + k

to standard form-

y=ax^2 + bx + c

Using Y = (X-1)^2 + 2 as an example.

First you expand (x-h)^2 to a quadratic

Y = (X-1)^2 + 2
Y = (x^2 - 2x + 1) + 2

Then you add the K value to the quadratic

Y = (x^2 - 2x + 1) + 2
Y = (x^2 - 2x + 3)

And then you're finished!