Posted by AJ on Wednesday, March 23, 2011 at 7:12am.
Find the equation of the parabola with axis parallel to the xaxis and passing through (3/2,1),(5,0) and (1,2).

Analytic Goemetry  Reiny, Wednesday, March 23, 2011 at 9:16am
In this case we don't know anything about the vertex, so we have to use the more general equation of the form
x = ay^2 + by + c
using (3/2 , 1)  3/2 = a + b + c
using (5,0 )  5 = 0+0+c or c=5
using (1,2)  1 = 4a + 2b + c
from the 2nd we know c=5
so in the first: a + b = 7/2 (#1)
in the 3rd : 4a + 2b = 6 or 2a + b = 3 (#3)
subtract #3  #1 > a = 1/2
back in #1 :
1/2 + b = 7/2  b = 4
so equation is
x = (1/2)y^2  4y + 5
Check to see of all 3 points satisfy this equation.
Answer This Question
Related Questions
 Analytic Goemetry  Find the equation of the parabola whose axis is horizontal, ...
 Analytic Geometry  Find the standard and general equation of a parabola with a ...
 Analytic Geometry  Find the equation of the parabola through (15/4 ,2) and (0...
 Maths  Find the equation of the parabola with its axis parallel to xaxis and ...
 precal : conics  find the equation of a parabola with vertex on line y = 2x, ...
 Math  draw the following parabola: a. principal axis parallel to x; LR=1; ...
 geometry  a parabola whose axis is parallel to the y axis passess through the ...
 Algebra  I'm suppose to write an equation with the following information: Line ...
 Precalculus  Equation of the parabola with the vertex (0,3), axis parallel to ...
 calculus  Find the equation of a parabola with vertex(5,3)and the axis of ...
More Related Questions