Answer:
y=(x-2)²+2
Step-by-step explanation:
y=x²-4x+6 (a=1 , b=-4 , c=4)
vertex form : y=a(x-h)²+k
h and k are the vertex coordinate :
h=-b/2a =-4/-2
h=2
find f(2) to find k in the equation :x²-4x+6
(2)²-4(2)+6
4-8+6=2 (k=2)
vertex form : y=a(x-h)²+k (a=1)
y=(x-2)²+2