SOLUTION: Find an equation in the form y=ax^2+bx+c for the parabola passing through the points (3,-22) (1,4) (2,-4)

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Question 1002751: Find an equation in the form y=ax^2+bx+c for the parabola passing through the points (3,-22) (1,4) (2,-4)
Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!

for the parabola passing through the points (,) (,) (,)
use given points to set up the system and find , and
(,):

.....eq.1
(,)

.....eq.2

(,)

.....eq.3
so, the system is:
.....eq.1
.....eq.2
.....eq.3
----------------------------
start with
.....eq.1
.....eq.2
-----------------------------subtract eq.1 from eq.2

.....both sides divide by
.....solve for
...............1a
do same with eq.2 and eq.3
.....eq.2
.....eq.3
----------------------------subtract eq.2 from eq.3

........2a
from 1a and 2a we have:
........solve for

go to ........2a, substitute for

go to .....eq.2, substitute for and for

so, your equation is:
see it and given points on the graph:
(,) (,) (,)