which quadratic equation fits the data in the table? x -5,-2,-1,0,3,4,6 y 33,9,5,3,9,15,33

Answer:y = x² − x + 3Step-by-step explanation:Quadratic equation is:y = ax² + bx + cPick three points and plug in.  I'll choose (-2, 9), (-1, 5), and (0, 3).9 = a(-2)² + b(-2) + c5 = a(-1)² + b(-1) + c3 = a(0)² + b(0) + c9 = 4a − 2b + c5 = a − b + c3 = cWe know c = 3, so substitute into the first two equations:9 = 4a − 2b + 35 = a − b + 30 = 4a − 2b − 60 = a − b − 2Solve by elimination or substitution.b = a − 20 = 4a − 2(a − 2) − 60 = 4a − 2a + 4 − 60 = 2a − 2a = 1b = -1Therefore:y = x² − x + 3