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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 do I create three unique equations where the discriminant is positive, zero, or negative. For each case, Please help me explain what this value means to the graph of y = ax2 + bx + c.

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Discriminants are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.