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]}