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.Com
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)   (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.


RELATED QUESTIONS

In the xy-plane, if the parabola with equation y=axsquared+bx+c, where a, b, and c are... (answered by stanbon)
In the xy-plane, if the parabola with equation y=axsquared+bx+c, where a, b, and c are... (answered by ikleyn)
The graph of the equation y =ax^2 + bx + c, where a, b, and c are constants, is a... (answered by richard1234)
The graph of the equation $y =ax^2 + bx + c$, where $a$, $b$, and $c$ are constants, is (answered by jim_thompson5910)
find the equation for the parabola with a vertex at (5,-3) and passes through (-5,-7)... (answered by Mathtut)
Find the equation ,in the form y = ax^2 + bx + c,of the parabola which passes through the (answered by Alomelo,Alan3354)
Appreciate if you could explain a step by step in detail how to get the answer (C).... (answered by ikleyn,math_tutor2020,greenestamps)
Find the equation of the parabola, y=ax^2 + bx + c, that passes through the points... (answered by Fombitz)
The parabola with vertex (2,-4) and passing through the point(8,6)is given by the... (answered by Fombitz)