How do you derive Quadratic function using table of values? - Answers

To derive a quadratic function using a table of values, first, identify the x and y values from the table. Next, calculate the first differences (the differences between consecutive y-values) and then the second differences (the differences of the first differences). If the second differences are constant, this indicates a quadratic relationship. Finally, use the values and the standard form of a quadratic equation (y = ax^2 + bx + c) to solve for the coefficients (a), (b), and (c) using a system of equations based on the points from the table.