Determine the direction that this parabola opens y=x^2-6x

the graph of the parabola opens upwards.

Step-by-step explanation:

For any quadratic equation of the form

is true that:

if the main coefficient "a" is negative then the graph of the parabola opens downwards.

If the main coefficient "a" is positive, the parabola opens upwards

In this case the parabola is

Note that and therefore the graph of the parabola opens upwards.

the answer will be