Answer:
The vertex is (2,3)
The minimum value is 3
Step-by-step explanation:
The given function is [tex]y=x^2-4x+7[/tex]
We complete the square to obtain the vertex form of the function.
[tex]y=x^2-4x+4-4+7[/tex]
[tex]y=(x-2)^2+3[/tex]
The vertex is (2,3)
The coefficient of the quadratic term is >0 therefore the vertex is the minimum point.
