SOLUTION: In the xy-plane, if the parabola with 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? A. a - b = 1

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: In the xy-plane, if the parabola with 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? A. a - b = 1      Log On


   

Question 1120263: In the xy-plane, if the parabola with 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?
A. a - b = 1
B. -b + c = 1
C. a + b + c = 1
D. a - b + c = 1
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
What is given to you, means that the value of the function "y" is equal to 1 at x= -1.


In turn, it means that


a*(-1)^2 + b*(-1) + c = 1,    or, which is the same,


a - b + c = 1.


Answer.  Option D.

Solved.