Question

The graph of an equation with a negative discriminant always has which characteristic?

A. No x-intercept

B. No y-intercept

C. No maximum

D. No minimum

Answer 1

The graph of an equation with a negative discriminant always has no x-intercepts.

Step-by-step explanation:

The graph of an equation with a negative discriminant always has no x-intercepts because the discriminant determines the nature of the roots of a quadratic equation. When the discriminant is negative, the quadratic equation has no real roots, which means the graph does not intersect the x-axis. Instead, it takes the form of a parabola that opens either upwards or downwards. For example, if we have the quadratic equation y = x2 + 5x + 6 with a discriminant of -11, we can see that it has no x-intercepts since the graph of the equation is a parabola that does not cross the x-axis.