Final Answer:
The correct quadratic function is f(x) = (x + 12)(x - 1).
This is determined by recognizing the zeros (-12 and 1) as the roots, leading to the factors (x + 12)and (x - 1) and ultimately the accurate quadratic expression.
Step-by-step explanation:
To derive the quadratic function from its zeros, we utilize the fact that the zeros are the roots of the equation, and their negations correspond to the linear factors. In this case, the zeros are -12 and 1.
Therefore, the factors are (x + 12) and (x - 1) . The correct quadratic function is the product of these factors: f(x) = (x + 12)(x - 1) .
It's important to distinguish this from f(x) = (-12)(1) , which is not the correct expression. This incorrect formulation does not consider the relationship between zeros and factors in a quadratic equation.