# Quadratic functions and discriminants

When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative.

How can I create three unique equations where the discriminant is positive, zero, or negative, and for each case, explain what this value means to the graph of y = ax2 + bx + c. ?

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#### Solution Summary

This shows how to create equations with positive, zero, or negative discriminants.

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