At what point does the graph of the function below have a minimum value?

Question

$x^2+6x+8$

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Answer 1 · 2018-05-24T12:39:31

$(-3,-1)$ minimum

Let $yy==x^2+6x+8$

$dy/dx=2x+6$

When $dy/dx=0$ ,

$2x+6=0$

Solve,

$x=-3$

When $x=-3$ ,

$y=(-3)^2+6(-3)+8$
$color(white)(y)=-1$

$:.(-3,-1)$ minimum

Graph:

graph{x^2+6x+8 [-10, 10, -5, 5]}