How do you write #y=x^2-2x+1# into vertex form?

Question

15312 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-04-30T12:46:09

The vertex form of a quadratic function is given by
#y = a(x - h)^2 + k#, where #(h, k)# is the vertex of the parabola.

We can use the process of Completing the Square to get this into the Vertex Form.

#y=x^2-2x+1#

#-> y - 1 = x^2 - 4x# (Transposed 1 to the Left Hand Side)

Now we ADD #4# from each side to complete the square

#-> y - 1 + 4 = x^2 - 4x + 2^2#

#-> y + 3 = (x-2)^2 #

#-> color(green)( y =1* (x-2)^2 - 3# is the Vertex Form

The vertex of the Parabola is# {2 , -3}#