Finding discriminant in a quadratic equation


Assignment:

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.

What I need to do is figure out how to create three unique equations where the discriminant is positive, zero, or negative. For each case, please explain what this value means to the graph of y = ax2 + bx + c.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Finding discriminant in a quadratic equation
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