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

A negative discriminant means that the parabola has no real roots (only imaginary roots.) Roots are where the parabola crosses the x-intercept and we know the parabola has no real roots, so it must never touch the x-axis. This means that the graph will have no x-intercept, so the answer is A!

Hope I helped, and let me know if you have any questions :)

A discriminant is applicable to second degree polynomials where it characterizes whether the roots are real or not. In this case, when a negative discriminant is obtained, a root is considered as imaginary. Roots are obtained when y is equal to zero. Hence the answer should be A