Answer:
The vertex form of the quadratic: y = (x - 1)² + 2
Coordinates of vertex: (1, 2)
Step-by-step explanation:
[tex]y=x^2-2x+3\\\\y=x^2-2x+1+2\\\\y=(x-1)^2+2[/tex]
The vertex form of an equation of the parabola is: f(x) = a(x - h)² + k
where (h, k) is the vertex. So:
x - h = x - 1 ⇒ h = 1
+ k = +2 ⇒ k = 2
