Write an equation in standard form for the quadratic function represented in the ta...
Check the final answer first, then review the worked steps.
Problem
Write an equation in standard form for the quadratic function represented in the table.
Step-by-step solution
Using the points (-1, 15), (0, 6), and (1, 3), we can set up a system of equations to solve for the coefficients a, b, and c in the standard form f(x) = ax^2 + bx + c. This yields f(x) = 3x^2 - 6x + 6.
Answer
f(x) = 3x^2 - 6x + 6