Question

4. If the value the discriminant is exactly 0, what is true about the graph of the quadratic equation?

The graph of the quadratic equation will touch the z-axis in exactly one place.
The quadratic equation cannot be graphed.
The graph of the quadratic equation will cross the z-axis twice.
The graph of the quadratic equation will not touch the z-axis.

Answer 1

If the value of the discriminant in a quadratic equation is exactly 0, it means that the equation has only one real root or solution. This corresponds to a quadratic equation where the graph of the parabola just touches the x-axis at a single point. Therefore, the correct statement is:

"The graph of the quadratic equation will touch the x-axis in exactly one place."

Option 1 is the correct answer.

Explanation: