State which way the parabola opens for the graph of the equation below.\large f\left(x\right)=-3x^2-4x+7 aUpward bDownward

The direction of a parabola's openning will always be determined by the signal of the number multiplying x². If the number is positive, then the openning will be upwards, if it is negative, the openning will be downwards. In this case the number is "-3", which is negative, so the correct answer is b.