Question

In the following exercises, determine if the following parabolas open up or down.

$y=-3x^2+3x-1$

Short answer

The parabola of given function opens down.

Step-by-step solution

Given information

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

Determine whether the parabola opens up or down.

The standard form is $y=a{x}^2+bx+c$.

Now compare the given equation with standard form, we get.

$a=-3$

Since the value of ais negative, so the given parabola opens down.