find the equation of the parabola that passes through the points (2,0),(3,-2),(1,-2)
I know the equation you have to write is y=ax^2+bx+c
you take x and y and plug them into that equation. Therefore, it looks like this
Set 1: 4a+2b+c=0
Set 2: 9a+3b+c=-2
Set 3: a+b+c=-2
now i have to know how to find a,b, and c to make that equation y=ax^2+bx+c but i'm not sure how

Question

find the equation of the parabola that passes through the points (2,0),(3,-2),(1,-2)
I know the equation you have to write is y=ax^2+bx+c
you take x and y and plug them into that equation. Therefore, it looks like this 
Set 1: 4a+2b+c=0
Set 2: 9a+3b+c=-2
Set 3: a+b+c=-2
now i have to know how to find a,b, and c to make that equation y=ax^2+bx+c but i'm not sure how

superdavesuper · Answer

3 eqns n 3 unknown - a,b,c so it can definitely be solved.
u can start by subtract Set 2 from Set 1 n end up with a new eqn w only a and b...

superdavesuper · Answer

Hint:
Set 1:    4a+2b+c=0
- Set 2: 9a+3b+c=-2
---------------------
             -5a - b = 2

so b=-5a-2

put that into Set 3...