SOLUTION: This question requires to write equation of the parabola from the given graph. Please see the attached picture if the graph. Would greatly appreciate your help. <a rel=nofollo

Algebra ->  Graphs -> SOLUTION: This question requires to write equation of the parabola from the given graph. Please see the attached picture if the graph. Would greatly appreciate your help. <a rel=nofollo      Log On


   



Question 1192509: This question requires to write equation of the parabola from the given graph. Please see the attached picture if the graph. Would greatly appreciate your help.
1-E614-BCD-869-F-4-BFE-9-AD5-7-DEDB4-B3-DD50

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
It has a horizontal axis of symmetry so its equation is

%28y-k%29%5E2%22%22=%22%224p%28x-h%29

Its vertex is (h,k) = (2,2), so substitute h=2, k=2

%28y-2%29%5E2%22%22=%22%224p%28x-2%29

It goes through (3,3), so substitute x=3, y=3 and solve for p:

%283-2%29%5E2%22%22=%22%224p%283-2%29

%281%29%5E2%22%22=%22%224p%281%29

1%22%22=%22%224p

1%2F4%22%22=%22%22p

Go back to

%28y-2%29%5E2%22%22=%22%224p%28x-2%29

Substitute p=4

%28y-2%29%5E2%22%22=%22%224%2Aexpr%281%2F4%29%2A%28x-2%29

%28y-2%29%5E2%22%22=%22%221%28x-2%29

%28y-2%29%5E2%22%22=%22%22x-2

Edwin