If the Discriminant is zero for a Quadratic Equation, then

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If the Discriminant is zero for a Quadratic Equation, then

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Graph will intersect the x-axis at two points.

The graph will touch the x-axis.

The graph will be above the x-axis.

None of the above.

answer is B.

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Detailed Solution

Concept:
The value of the discriminant can be used to determine the nature of the quadratic equation’s roots. The points where the curve meets the x-axis are the roots of an equation. As a result, we can determine the nature of the root to predict the graph.
As we know that,
Discriminant describes the nature of the roots where

Case 1:
If

, equation has

real and distinct roots. Therefore, the curve will meet the x-axis at two points.
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