if the point (1,-2) lies on the graph it satisfies the equation y=ax^2+bx+c

substitute _____ for x and _____ for y to get -2=a+b+c

y = ax^2 + bx + c

Putting x = 1 and y = -2, then

- 2 = a(1)^2 + b(1) + c

- 2 = a(1) + b + c

- 2 = a + b + c

Hence .

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