SOLUTION: Find the eqaution of the parabola given the three points: (0,1),(2,1),(-1,4)

Question 443093: Find the eqaution of the parabola given the three points: (0,1),(2,1),(-1,4)
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
(0,1) tells us that c = 1 since 1 = 0 + 0 +c
Then 1 = 4a + 2b + 1
-1 =16a + 4b + 1
----------------------
0 = 4a + 2b
-2 = 16a + 4b

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
We'll use substitution. After moving 2*b to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that b=0.5. Since , a=-0.25.

Answer: .

So a = -(1/4) b = 1/2 c =1
So the quadratic is
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