Question

Determine the following parabolas open up or down.$y=-3x^2+3x-1$

Short answer

The required result is the parabola opens downward .

Step-by-step solution

 Given Information  

The given equation1 is$y=-3x^2+3x-1$

Find the leading coefficient .

Leading coefficient is the coefficient of the term of highest degree in the given polynomial

Here , the leading coefficient is$-3$

Determine the sign of the leading coefficient .

If the leading coefficient is greater than zero , the parabola opens upward and if the leading coefficient is less than zero , the parabola opens

downward .

Here , $-3\le 0$

Therefore , the parabola opens downward .