use the methods of this section to sketch the curve. y=x^3-3a^2x+2a^3, where a is a positive constant. What do the members of this family of curves have in common? How do they differ from each other?

Answer 1

Factor
x^3-3*a^2*x+2*a^3
to get
(x-a)²(x+2a)

What does the factor (x-a)² indicate?
What abuot (x+2a)?