By definition, a parabola is a open and plane curve that can point up or point down, it can also point to the right or to the left. See the picture below:
You can observe that this parabola points up.
Another example is the one shown below:
This is a parabola that points down.
As you can observe in the pictures, a parabola is formed by a set of point that have the same distance from the Focus of the parabola and from the Directrix.
The Focus of a parabola is a fixed point and the Directrix is a fixed line.
Therefore, based on the above, you can determine that the answer is: True.