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