SOLUTION: How do you find the parabola equation for a parabola that's maximum is (2,8) and the start of the parabola is (o,6) ?

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Question 448619: How do you find the parabola equation for a parabola that's maximum is (2,8) and the start of the parabola is (o,6) ?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex
maximum is (2,8) and the start of the parabola is (0,6) ?
Standard form is %28x+-h%29%5E2+=+4p%28y+-k%29, where the focus is (h,k + p)
y = a(x-2)^2 +8 |Using point (0,6) to solve for a
6 = a*4 + 8
-2 = 4a
-1/2 = a
y = -.5(x-2)^2 +8 OR -2(y-8) = (x-2)^2