Question 1: Try to locate all the vertices on the curves shown below and label each as "Local Minimum in Curvature" or "Local Maximum in Curvature."
Question 2: Make a rough sketch of the curvature plot for the curves below.
Question 3: Which of the curves shown below has larger curvature?
Why? Explain what will happen to the curvature of a curve if the curve is
magnified.
Question 4: All of the curves in the figure below are parabolas. What
do they have in common in terms of curvature?
Question 5: Your friends tell you that the curve in the figure below
has 10 vertices. Is this possible? Why or why not?
Go to the concept page to read how curvature can be intuitive.