SOLUTION: Find the equation of a parabola with axis parallel to the x-axis and passing through (3/2, 1), (5,0) and (-1,2).

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Find the equation of a parabola with axis parallel to the x-axis and passing through (3/2, 1), (5,0) and (-1,2).       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1167090: Find the equation of a parabola with axis parallel to the x-axis and passing through
(3/2, 1), (5,0) and (-1,2).
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x=ay^2+by+c
3/2=a+b+c
5=c
-1=4a+2b+c
4a+2b=-6 and
a+b=-3.5
-2a-2b=7
2a=1
a=1/2
b=-4
x=(1/2)y^2-4y+5
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C4%2Bsqrt%282x%2B6%29%2C4-sqrt%282x%2B6%29%29