Question

How do you find the max or minimum of `f(x)=x^2+6x-2`?

Answer 1

`"minimum value "=-11`

Explanation:

`"to find the min/max value of f(x) "color(blue)"complete the square"`

`f(x)=(x^2+6xcolor(red)(+9))color(red)(-9)-2`

`rArrf(x)=(x+3)^2-11`

`"now " (x+3)^2>=0 AAx`

`rArrf(x)" has a minimum of " -11" when " x=-3`
graph{x^2+6x-2 [-25.65, 25.67, -12.83, 12.82]}