The curve represented by y=x2 is known to be symmetric about one of the coordinate axes.
a. (i) Explain how the symmetry of a curve can be verified from a set of plotted points.
b. (ii) For x=−3,−2,−1,0,1,2,3, calculate the corresponding y-values and demonstrate the symmetry for y=x2.
c. (iii) Describe qualitatively how the value of y changes as ∣x∣ increases, and relate this to the change in the steepness of the graph.