Question

Is `y=x^2 + 2x-3` a quadratic?

Answer 1

Yes, it is a quadratic function

Explanation:

To find if a function (or equation) is a quadratic one you have to check if the function is a polinomial (it contains only of terms like `ax^n` where `n in NN`) and the highest power of `x` is `2`.

Examples:

1) `y=2x^2-x+7` is a quadratic function
2) `y=-x+7` is not quadratic (no `x^2`)
3) `y=x^2+7x-2/x` is not quadratic (`2/x` is not a valid term in a polinomial)
4) `y=x^4-2x^2+7` is not quadratic (the highest power of `x` is `4` not `2`)