Answer:
y = (1/60) x² - (7/20) x + 49/30
Step-by-step explanation:
equation formula: y = ax² + bx + c
pass (-1,2) (2,1) (7,0)
(-1,2): a - b + c = 2 ... (1)
(2,1): 4a + 2b + c = 1 ... (2)
(7,0): 49a + 7b + c = 0 ... (3)
(2)-(1): 3a + 3b = -1 ... (4)
(3)-(2): 45a + 5b = -1 ... (5)
(4)*15-(5): 40b = -14 b = - 7/20 ... (6)
(4): 3a = -1 - 3*(-7/20) = 1/20 a = 1/60 ...(7)
(1): c = 2 - 1/60 + (-7/20) = 49/30 c = 49/30
equation: y = (1/60) x² - (7/20) x + 49/30
