SOLUTION: I need the vertex of the function f(x)=(3p)x^2-(24p)x+(5p)

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Question 471826: I need the vertex of the function f(x)=(3p)x^2-(24p)x+(5p)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

f(x)=(3p)x^2-(24p)x+(5p)   |completing the Square

f(x)= 3p[x^2-8x]+(5p)

f(x)= 3p[(x-4)^2 - 16]+(5p)

f(x)= 3p(x-4)^2 - 48p+(5p)

f(x)= 3p(x-4)^2 - 43p     V(4,-43p)