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Find the maximum and the minimum values, if any, of the following functions `f(x)=3x^2+6x+8,x in R`

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Given functions `f(x)=3x^2+6x+8`
`=3x^2+6x+3+5`
`3(x^2+2x+1)+5`
`=3(x+1)^2+5`
so,we can see clearly `f(x)ge5`
`3(x+1)^2=0`
`x=-1`
hence minima=5
maxima is not defined.
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