SOLUTION: Find the equation of the parabola that passes through the points (0,0 ), (3, 0) and (-1, 4). Direction is upward.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the equation of the parabola that passes through the points (0,0 ), (3, 0) and (-1, 4). Direction is upward.      Log On


   

Question 947821: Find the equation of the parabola that passes through the points (0,0 ), (3, 0) and (-1, 4). Direction is upward.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
(Second attempt):

y=a%28x-r%29%28x-s%29, factored generally but not a square.

Notice the two roots are given as their points.
Roots 0 and 3.

y=a%28x-0%29%28x-3%29
y=a%2Ax%28x-3%29
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The last given point will allow finding the value for a.
a=y%2F%28x%28x-3%29%29
a=4%2F%28-1%28-1-3%29%29
a=4%2F%28%28-1%29%28-4%29%29
a=1
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EQUATION: highlight%28y=x%28x-3%29%29