SOLUTION: Could someone explain too me, how to solve this problem, it would be much appreicated. A parabola with equation y = ax^2 + bx passes through the two points (-1,3) and (4,-2). (

Question 642119: Could someone explain too me, how to solve this problem, it would be much appreicated.
A parabola with equation y = ax^2 + bx passes through the two points (-1,3) and (4,-2).
(a) Use algebra to find its equation.
Hint: Set up a system of two simultaneous equations.
and could you please explain the steps you go through to get the end result.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
A parabola with equation passes through the two points (,) and (,)
you need to find the three unknown coefficients and
Insert each of the points and you will get equations with unknowns:

_____________________solve this system by substitution
.....1....solve for

..........................substitute in 2
.....2....solve for

now find

........plug in and

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