# Understand quadratic equation and it's solution using graph

- Author:
- Mathguru

- Topic:
- Equations

If we change the values of a, b and c using their respective slide bars we will see that position of the graph (parabola) gets changed. Here a, b and c are coefficients of the quadratic function y=ax^2+bx+c, and roots of the equation ax^2+bx+c=0 are α, β= (-b±(b^2-4ac)^(1/2))/2a

Questions to think about.
What is the difference in shapes of the graph when a>0 and a<0?
What is the difference in the shapes of the graph when b^2>4ac and b^2<4ac.
Set the value of a, b and c such that b^2=4ac , what do you observe. For example set a=1, c=1 and b=2