The solutions of a quadratic equation are -4 and 9. What is the standard form of a related quadratic function?

Answer 1

If the solutions of a quadratic equation are -4 and 9, then the corresponding factors are (x+4) and (x-9).

To find the standard form of the related quadratic function, we multiply the factors together:

(x+4)(x-9) = x^2 - 9x + 4x - 36 = x^2 - 5x - 36

Therefore, the standard form of the related quadratic function is f(x) = x^2 - 5x - 36.