Well, now that you mention it, even the first one is on the wrong side of the graph. The second derivative is apparently (to my eyes) negative there, so the approximating parabola should be turning downwards. Whichever the sign, its value is close to zero anyways, the approximation would look very flat there.

Anyways, it's a little graph to illustrate the idea of a second order approximation, I think it does the job.