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

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

User Mdmb
by
8.0k points

1 Answer

6 votes
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
User Vamsi
by
9.1k points
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