A parabola property Let f(x) = x2.a. Show that , for all x ≠ y.b. Is this property true fo...

A parabola property Let f(x) = x2.

a. Show that , for all x ≠ y.

b. Is this property true for f(x) = ax2, where a is a nonzero real number?

c. Give a geometrical interpretation of this property.

d. Is this property true for f(x) = ax3?