Well, first find the co-ordinatdes where the graph crosses the x-axis.

y = 4x^2 + 4x + 4

4x^2 + 4x + 4 = 0 (0 is the y co-ordinate where the graph crosses the x-axis)

Using the discriminant b²-4ac = 4²-(4*4*4)

= -48 < 0 therefore the graph doesn't cross the x-axis at all. So to do this i would suggest drawing the graph of 4x^2 + 4x + 4. But it is still possible to do it without drawing the graph it just takes a little bit more thought of which ill divulge into tomorrow. It's late now .