Use the discriminant of the equation to determine the number of $x$-intercepts.
-$f(x)=-x^{2}+8 x+9$
A) No $x$-intercepts
B) One $x$-intercept
C) Two x-intercepts

Question

Quizplus · Accepted Answer

The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by $b^2 - 4ac$. For the equation $f(x) = -x^2 + 8x + 9$, $a = -1$, $b = 8$, and $c = 9$. Thus, the discriminant is $8^2 - 4(-1)(9) = 64 + 36 = 100$, which is positive, indicating that there are two distinct real roots or $x$-intercepts.

Use the Discriminant of the Equation to Determine the Number xxx

Use the Discriminant of the Equation to Determine the Number $x$