Question

if a quadratic equation is in factored form ( y = a(x - r)(x - s) ) and ( a < 0 ), how does the parabola open?

a. downwards
b. leftwards
c. upwards
d. rightwards

Explanation:

The coefficient $a$ in the factored form of a quadratic $y=a(x-r)(x-s)$ determines the parabola's direction. When $a<0$, the parabola opens downward, as the negative coefficient reflects the parabola over the x-axis compared to when $a>0$.

Answer:

a. Downwards