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The discriminant tells how many real roots of the equation there are.

If the discriminant is positive, there are two real roots, and the graph crosses the x-axis twice.

If the discriminant is zero, there is one (repeated) real root, and the graph just touches the x-axis at one point (the vertex).

If the discriminant is negative, there are no real roots, and the graph does not cross the x-axis.

2006-12-10 07:59:04 · answer #1 · answered by Jim Burnell 6 · 0 0

If the discriminant is zero, the parabola touches the x-axis at one point. If the discriminant is negative, the parabola does not touch the x-axis. If the discriminant is positive, the parabola has 2 distinct x-intercepts.

2006-12-10 15:58:13 · answer #2 · answered by Professor Maddie 4 · 0 0

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