Consider the following example provided by my teacher:

3. Find an equation of the parabola y ax: + bx + c that passes through the points (2, 3), (1, O), and (2, 2). Use a system of equations to solve this problem ax: + bx c = Y 4a+2b +c=3 (2) (3) and for b 4a + 2b c 4b 4b 1 3a +3b = 3 2 Substitute divide both sides by 3 subtract each side by for b (1) Substitute 3 4 for a