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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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
