Role of a, b, c and d in a cubic function y=ax^3+bx^2+cx+d

Author:
Mathguru
Topic:
Equations
We can clearly see the red graph. This is the graph of the function =ax^3+bx^2+cx+d . If we change the values of a, b, c and d using their respective slide bars we will see that the position of the graph gets changed. Here a, b, c and d are coefficients of a cubic equation ax^3+bx^2+cx+d=0.
Questions to think about 1. What do we observe when a=0? 2. What do we observe when a=b=0? 3. What do we observe when d=0? 4. What do we observe when a,b,c,d=0?