You can put this solution on YOUR website! y-3=x^2-4x and y=x-1.
Graphing is the way to find the intersection points.
y-3=x^2-4x
y=x^2-4x+3 (red curve)
y=x-1 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions x -1 and x^2 -4x +3).
Intercepts are (1,0) & (4,3)