Graph f, given its SECOND derivative

In this interactive figure, the graph of a function [math]f[/math] is hidden, but its second derivative, [math]f''[/math] is graphed as a solid black line. Your task is to move the blue points to create the graph of the original function, [math]f[/math]. As a help, notice that there are three red points - those points lie on the graph of [math]f[/math]. [br][br]As you try to recreate [math]f[/math], you can click on the "Check Accuracy" button to see how you're doing. When you're ready to see what the graph of [math]f[/math] really looks like, click "Reveal Answer!" Good luck!

Information: Graph f, given its SECOND derivative