For this case we have a quadratic equation of the form:
[tex]ax ^ 2 + bx + c
[/tex]
What we must keep in mind to know which direction opens the parabola, is the value of a.
We have two options:
If a <0 the parabola opens down
If a> 0 the parabola opens up
We have the following equation:
[tex]y = 4x ^ 2 + 8x + 2
[/tex]
We observed that:
[tex]a = 4 (a\ \textgreater \ 0)
[/tex]
Therefore, the parable opens up.
Answer:
the direction that this parabola opens is:
Upwards
