what is the graph of the equation? y=x^2 -4x + 3

Parabola

x = -b/2a

x= 4/2 = 2
f(2) = (2)^2 -4(2) + 3
= 4-8 + 3 = -1

vertex (2,-1)

0 = (x-1)(x-3)

x = 1, 3
(1, 0), (3,0)