Final answer:
The given parabola opens upwards because the coefficient of the highest power of t is positive.
Step-by-step explanation:
The parabola y = (-7t + 6)(-4 + 10t) opens upwards. To determine this, we can look at the coefficient of the highest power of t in the equation. In this case, the highest power of t is t² and the coefficient is 10, which is positive. When the coefficient of t² is positive, the parabola opens upwards. If the coefficient were negative, the parabola would open downwards.