SOLUTION: In the xy-plane, if the parabola with equation y=axsquared+bx+c, where a, b, and c are constants, passes through the point (-1,1), which of the following must be true?
A) a-b=1
B
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Question 996378: In the xy-plane, if the parabola with equation y=axsquared+bx+c, where a, b, and c are constants, passes through the point (-1,1), which of the following must be true?
A) a-b=1
B) -b+c=1
C) a+b+c=1
D) a-b+c=1
Answer by ikleyn(52792) (Show Source): You can put this solution on YOUR website!
.
You are given that the polynomial y = has the value y=1 at x=-1.
It means that (substitute this value of x=-1 into the polynomial)
1 = y = = a*1 -b + c = a - b + c.
Again: a - b + c = 1.
It is case D).
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