Final answer:
The equation for the quadratic function represented by the given table is y = 4.9x² - 14.3x - 20.
Step-by-step explanation:
The equation for the quadratic function represented by the given table is y = 4.9x² - 14.3x - 20.
It can be obtained by using the method of finite differences or by recognizing that the table represents the values of a quadratic function in the form of y = ax² + bx + c.
By substituting the values from the table into the equation, we can solve for the coefficients.