Answer:
Once you have found the values of a, b, and c, you can write the quadratic function in the form:
f(x) = ax² + bx + c
where a, b, and c are constants.
Explanation:
To find a quadratic function, you need to start with a general quadratic equation in the form of:
f(x) = ax² + bx + c
where a, b, and c are constants, and x is the variable.
To make it a quadratic function you need to set a ≠ 0.
You can then substitute known values of x and the corresponding values of f(x) into the equation to create a system of equations. Solve the system of equations to find the values of a, b, and c that satisfy the given conditions.
Alternatively, you can use properties of the function such as the vertex, axis of symmetry, or roots to find the equation.