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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 $x=3$. Enter your answer in the expanded form "ax^2 + bx + c", where a,b,c are replaced by appropriate numbers.

 Nov 12, 2022
 #1
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Why are you appologising for the Latex, why didn't you just edit it out?

 Nov 13, 2022
 #2
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Since it has zeroes at x=2 and x=4, the quadratic can be written in the form y=a(x2)(x4). You can substitute the point (3,6) to get that 6=a(32)(34), so a=6. Thus, we get the answer of 6(x2)(x4)=6(x26x+8)=6x2+36x48

 

 

hope this helped laugh

 Nov 13, 2022

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