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Give an example of a quadratic function that has zeroes at x=2 and x=4, and that takes the value 6 when x=8.

Enter your answer in the expanded form "ax^2 + bx + c", where a,b,c are replaced by appropriate numbers.

 Dec 25, 2021
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If roots are 2 and 4 then

(x-2)(x-4) = 0    expand

x^2 -6x + 8 = 0      when x = 8    this   equals  24  

       it needs to be = 6   

             so multiply the whole thing by 1/4   ( this will not change the zeroes)

 

1/4 x^2 - 1.5 x + 2 = 0  

 Dec 26, 2021

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