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What real value of t produces the smallest value of the quadratic t^2 -12t - 36?

 Jan 16, 2021
 #1
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What real value of t produces the smallest value of the quadratic t^2 -12t - 36?    

 

I used the slider at Desmos and the smallest value is when t = 6.  

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 Jan 16, 2021
 #2
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This is a bowl shaped parabola

   the leaast value will be at the vertex

     this occurs at a t-value of  - b / 2a      b = -12      a =1      so t of minumum is   - (-12)/2 = 6

 Jan 16, 2021

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