What is the relationship between the value of Y and the value range of X in quadratic function?

What is the relationship between the value of Y and the value range of X in quadratic function?

This is a bit complicated. If the coefficient of X is a positive number, then [0 ~ + ∞] increases and [0 ~ - ∞] decreases and increases. If the coefficient of X is a negative number, on the contrary, typing is not easy to adopt