Question 194518
Let g(x) =y = x^2 -2x +8
,
positive  leading  coefficient  means  that  it  points  up
,
x vertex  is  at  x=-b/2a = -(-2)/2(1) =1
substitute  in  to  get  y,,,,y=1^2 -2*1 +8 = 7
Vertex  is  (1,7)
Axis  of  symmetry  is  x= 1
checking  plot  a  few  points,,,(1,7),,,(2,8),,,,(0,8),,,,,ok