Question

1. how does the negative coefficient of the ( x^2 ) term in a quadratic equation affect the graph when analyzed using a graphing tool?

a. the parabola opens downward.
b. the graph has no intercepts.
c. the graph becomes wider.
d. the parabola shifts left.

Explanation:

A quadratic equation has the form $y=ax^2+bx+c$, where $a$ is the coefficient of $x^2$. When $a<0$ (negative), the parabola opens downward. The presence of intercepts depends on the discriminant, width depends on the absolute value of $a$, and horizontal shifts depend on the $x$-term adjustments, not the sign of $a$.

Answer:

a. The parabola opens downward.