the graph of an equation with a negative discriminant always has which characteristic? no x - intercept no y…

Brief Explanations:

For a quadratic equation $ax^{2}+bx + c = 0$, the discriminant is $\Delta=b^{2}-4ac$. The $x$-intercepts are the solutions of the equation $ax^{2}+bx + c = 0$. When $\Delta<0$, the quadratic - formula $x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ gives non - real solutions. Since the $x$-intercepts are the real values of $x$ where $y = 0$, a negative discriminant means no real $x$-intercepts. The $y$-intercept is found by setting $x = 0$ in the equation $y=ax^{2}+bx + c$ (for a quadratic), and it always exists ($y = c$). A quadratic function $y = ax^{2}+bx + c$ has a maximum or minimum depending on the sign of $a$ regardless of the discriminant.

Answer:

no x - intercept