state whether each relation y=f(x) describes a quadratic function or not

y=3-x^2

yes

each value of x produces a distinct value of y.

I want learn more about math

The relation y = 3 - x^2 describes a quadratic function.

To determine whether the relation y = f(x) describes a quadratic function or not, we need to examine the form of the equation.

A quadratic function is in the form y = ax^2 + bx + c, where a, b, and c are constants.

Looking at the given equation, y = 3 - x^2, we can see that it matches the form of a quadratic function. Here, the coefficient of x^2 is -1, the coefficient of x is 0, and the constant term is 3.

Therefore, the relation y = 3 - x^2 describes a quadratic function.