Final answer:
To write the equation of a quadratic function, one must understand that the standard form is ax^2 + bx + c = 0. The roots can be found using the quadratic formula, which relies on the coefficients a, b, and c of the quadratic, linear, and constant terms, respectively.
Step-by-step explanation:
The student's question pertains to the writing of the equation of a quadratic function. A quadratic equation is typically of the form ax2 + bx + c = 0. To solve for the roots of a quadratic equation, one can utilize the quadratic formula, which is x = (-b ± √(b2 - 4ac)) / (2a). This formula offers the solution by considering the coefficients 'a (the quadratic coefficient), 'b' (the linear coefficient), and 'c' (the constant term).
Let's apply this approach to an example equation, such as x2 + 1.2 x 10-2x - 6.0 × 10-3 = 0. Here, 'a' would be 1 (as the coefficient of x2), 'b' would be 1.2 x 10-2, and 'c' would be -6.0 × 10-3. Plugging these values into the quadratic formula would give us the roots of the equation. The answer choice with corresponding 'a, 'b', and 'c' values can be identified as the function represented by the equation.