SOLUTION: find a quadratic model in standard form (0,3) (1,10) (2,19)

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Question 358697: find a quadratic model in standard form (0,3) (1,10) (2,19)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=ax%5E2%2Bbx%2Bc
Use the three points given,
3=a%280%29%5E2%2Bb%280%29%2Bc
highlight_green%28+c=3%29
.
.
10=a%281%29%5E2%2Bb%281%29%2Bc
a%2Bb%2Bc=10
1.a%2Bb=7
.
.
19=a%282%29%5E2%2Bb%282%29%2B3
4a%2B2b=16
2.2a%2Bb=8
Subtract eq. 1 from eq. 2,
2a%2Bb-a-b=8-7
highlight_green%28a=1%29
Then from eq. 1,
1%2Bb=7
highlight_green%28b=6%29
.
.
.
y=ax%5E2%2Bbx%2Bc
highlight%28y=x%5E2%2B6x%2B3%29