Quadratic Functions

 

What real value of $t$ produces the smallest value of the quadratic $t^2 -9t - 36 + 13t - 60$?     

 

                                                                         t² – 9t – 36 + 13t – 60     

collect like terms                                               t² + 4t – 96     

 

The lowest value will be the vertex, can be     

found by setting the 1st derivitive to zero        2t + 4 = 0   ==>>   t = – 2     

At t = –2, the quadratic equals –100.     

_.