Find a quadratic function whose graph passes through the points

Question

Find a quadratic function whose graph passes through the points (-1,6), (1,4), and (2,9).

Answer 1

Write a system of equations:

 

6 = a(-1)² + b(-1) + c

4 = a(1)² + b(1) + c

9 = a(2)² + b(2) + c

 

Solve using any method for the coefficients a, b, and c.