Question

Given the parabola whose equation is , find the focus and determine if the parabola opens up or down.

Answer 1

The equation of a parabola is:

`y = ax {}^(2) + bx + c`
If a>0, then the parabola opens up;
If a<0, then the parabola opens down.
The coordinates of focus are:

`( - (b)/(2a) \: \: \frac{1 - b {}^(2) + 4ac}{4a} )`