# What is the vertex form of #y=x^2 - 4x + 14 #?

##### 1 Answer

Mar 19, 2016

#y = 1(x-2)^2+10#

#### Explanation:

Complete the square to rearrange into vertex form:

#y = x^2-4x+14#

#=x^2-4x+4+10#

#=(x-2)^2+10#

#=1(x-2)^2+10#

The equation:

#y = 1(x-2)^2+10#

is in the form:

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

which is the equation of a parabola with vertex at