Question

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

Answer 1

the graph of the parabola opens upwards.

Explanation:

For any quadratic equation of the form

`ax ^ 2 + bx + c` 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
`y=x^2-6x`

Note that
`a=1` and
`a>0` therefore the graph of the parabola opens upwards.