Question

Determine the direction that this parabola opens y=4x^2+8x+2

Answer 1

For this case we have a quadratic equation of the form:
 $ax ^ 2 + bx + c$
 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:
 $y = 4x ^ 2 + 8x + 2$
 We observed that:
 $a = 4 (a\ \textgreater \ 0)$
 Therefore, the parable opens up.
 Answer:
 the direction that this parabola opens is:
 Upwards