The Question asks: Find the value of m > 0 for which the line y = mx touches the parabola y = (x - 1)2 + 1 at just one point. So far what I've done... I know that if the line touches the parabola at one point, it is tangential. So I put together the 2 equations in order to find the intersection (or touch): mx=(x-1)2+1 0=x2-2x-mx+2 0=x2-(2+m)x+2 That's as far as I've gotten. Someone said I need to find the restriction on 'm' so that the equation only has one root (just touches, as opposed to a full intersection through 2 points), but I don't know what to do... Any help would be appreciated.