# What is the vertex form of y= x^2 - 3x + 2 ?

It is $y = {\left(x - \frac{3}{2}\right)}^{2} - \frac{1}{4}$

#### Explanation:

The vertex form of a parabola is

$y = a \cdot {\left(x - h\right)}^{2} + k$

hence

y=x^2-2*3/2*x+9/4+2-9/4=> y=(x-3/2)^2-1/4