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
