You can put this solution on YOUR website! y=x^2-2x+4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x^2 -2x +4).
ACCORDING TO THIS GRAPH --- THERE ARE NOP X INTERCEPTS.
WHEN Y=0 THEN THE X VALUES (USING THE QUADRATIC EQUATION) ARE 1+/-1.732i WHICH ARE IMMAGINARY NUMBERS.