Today's curve.

Hello, math lovers.
We will now present today's curve.
Let the function f(x)=x⁴-2x²+8 be given.
First question (4 points):
1. Give the coordinates (x,y) of three points through which this curve f(x) passes.
Second question (4 points):
2. Give the equation of the function g(x) with point symmetry $(0,y₀).
Third question (6 points):
3. Give the two complex roots of f(x).
Fourth question (6 points):
4. Verify that the answers are correct by including them in f(x).
R.H.