7. explain how you can determine, based on the equation of a quadratic function, which direction the graph…

Brief Explanations:

A quadratic function is of the form $y = ax^{2}+bx + c$. The sign of the coefficient $a$ determines the direction of the graph's opening. If $a>0$, the parabola opens upward. If $a < 0$, the parabola opens downward.

Answer:

The sign of the coefficient $a$ in the quadratic - function $y = ax^{2}+bx + c$ determines the opening direction. If $a>0$, it opens upward; if $a < 0$, it opens downward.