Question

Which of the following are quadratic functions?

a) v= -0.1 + 2
b) v = 5x - 3 + x^2
c) v = 11
d) v = 1? + 5 - 2

Answer 1

The quadratic functions among the given options are v = 5x - 3 + x².

Step-by-step explanation:

Quadratic functions are functions that can be written in the form of f(x) = ax² + bx + c. In order to determine if the given expressions are quadratic functions, we need to check if they follow this form.

1. v = -0.1 + 2: This is not a quadratic function because it is a linear function with no x² term.
2. v = 5x - 3 + x²: This is a quadratic function because it follows the form f(x) = x² + bx + c. Its coefficient of x² is 1, coefficient of x is 5, and constant term is -3.
3. v = 11: This is not a quadratic function because it is a constant function with no x term.
4. v = 1? + 5 - 2: The given expression seems to contain a typo as the question mark symbol (?) is not a valid mathematical operator. Without further information, we cannot determine if this is a quadratic function.