Discriminant and Nature of the Roots of a Quadratic Function

Discriminant and Nature of the Roots of a Quadratic Function
Questions
What happens to the number of x-intercepts when Δ is positive?
How is the graph different when Δ equals zero?
Why does a negative discriminant indicate that there are no real roots?
Does changing the sign of a change the discriminant rule? Explain.
 How can the discriminant classify roots without computing their exact values?
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