One could try adjusting the y-intercepts. Try The resulting graphs are Worse. The result seems on target. Now let's add the graph of the parabola and compare it with our sketch. It appears that all three graphs seem to intersect at 1 on the y axis.
Lets zoom for a closer look.
Maybe changing one of the functions will help with the explanation. Consider The three functions no longer intersect at 1 on the y-axis. Lets graph and see. In this process we seem to have also noticed that the lines and the parabola intersect at the points when the lines cross the x-axis. Now the goal is to get one line tangent to the parabola.