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minimum is when x = 13/6

we can all explain it ;)

I can't do it with algebra :). Calculus drains all basic algebra from the brain. Haha.

dont it tho lol

and yada yada yada ...lol

I don't know what method was used to get the 13/6 but one method is to\[d/dx=6x-13\]

-b/2a ;)

6x-13=0
x=13/6

(-b/2a, f(-b/2a)) are the coordinates of teh vertex....

there is also a method called the square root method that might be applicable

Refer to the plot attachment.

x=-.66666667 & x=5 the min (vertex) s x=2.1, y=-24.07