Question

In the xy-plane, if the parabola wiry equation y=ax^2+bx+c, where a, b, and c are constants, passes through the point (-1,1), which of the following must be true?

Answer 1

Since the parabola passes through the point (–1,1), we can substitute the x with -1 and the y with 1 into the equation.

`1=a(-1)^(2) +b(-1)+c\\ 1=a-b+c`
So a – b + c = 1.