The parabola opens down.
In which direction the parabola opens?
A general parabola equation is written as:
y = ax² + bx + c
The leading coefficient is a, and we need to look at this coefficient to know if our parabola opens up or down.
if a > 0, the parabola opens upwards.
if a < 0, the parabola opens downwards.
The given parabola is:
y = -x² + 3
This can be rewritten:
y = (-1)*x² + 3
So the leading coefficient is -1, which means that the parabola opens down.