You can
put this solution on YOUR website!y = x^2 - 4x + 3
vertex(-b/2a,f(x))
v(2,-1)
Since the parabola is vertical, the axis of symmetry will be equal to x.
Axis of Symmetry:

Since the a is positive, the parabola opens upwards. You have a minimum known as the vertex, not a maximum.
Pick points and find the solution for y. Graph and make sure the line is symmetrical to the Axis of Symmetry.