SOLUTION: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points (3, 1), (0, 0), and (8,-4)

Question 1147599: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points (3, 1), (0, 0), and (8,-4)
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!



Parabolas like this have standard equation:



Substitute (x,y) = (0,0):







Substitute (x,y) = (3,1):



Substitute +k² for -4ph




Substitute (x,y) = (8,-4):



Substitute +k² for -4ph



That can be divided through by 8


Solve this system:



And you'll get p=1/4, k=-1

Substitute in 





So substitute for h,k, and p:





    <---answer

Edwin

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