SOLUTION: Find an equation for the conic that satisfies the given conditions. parabola, horizontal axis, passing through (−1, 0), (2, −1), and (4, 1) i know u are su

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find an equation for the conic that satisfies the given conditions. parabola, horizontal axis, passing through (−1, 0), (2, −1), and (4, 1) i know u are su      Log On


   

Question 900626: Find an equation for the conic that satisfies the given conditions.
parabola, horizontal axis, passing through
(−1, 0), (2, −1), and (4, 1)
i know u are suppose solve systems and that's the part i don't get.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Can you first make the system? Three points, each give an equation; and you know this is as x=ay%5E2%2Bby%2Bc because the symmetry axis is given as horizontal. Use the general equation as ay%5E2%2Bby%2Bc=x.

Use each point to make a separate equation and then simplify as necessary. That will be your system of equations to solve. The variables you are solving are the coefficients a, b, and c.