If x=-3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation? The discriminant is negative. The discriminant is -3 The discriminant is 0. The discriminant is positive.

To determine the discriminant of a quadratic equation based on its x-intercepts, we need to understand the relationship between the discriminant and the nature of the roots of the quadratic equation.<br /><br />A quadratic equation in the form \( ax^2 + bx + c = 0 \) has:<br />- Two distinct real roots if the discriminant \( \Delta = b^2 - 4ac \) is positive.<br />- One real repeated root (a double root) if the discriminant \( \Delta = 0 \).<br />- Two complex conjugate roots if the discriminant \( \Delta \) is negative.<br /><br />Given that \( x = -3 \) is the only x-intercept of the graph of the quadratic equation, this implies that the quadratic equation has exactly one real root. This situation occurs when the discriminant is zero, meaning the quadratic equation has a double root.<br /><br />Therefore, the correct statement is:<br />- The discriminant is 0.