Question

2xsquare+12x+19
Find the minimum value of f (x)

Answer 1

converting to vertex form is one way of doing this
2x^2 + 12x + 19 
= 2(x^2 + 6x) + 19
= 2 [ x + 3)^2  - 9] + 19
=  2(x + 3)^2  - 18 + 19
= 2(x + 3)^2 + 1

the minimum value is 1