Question 258752
{{{f(x)= (x+2)^2-3 }}}

The equation is in vertex form.
Axis of symmetry : {{{x=-2}}}
{{{f(-2)=-3}}}
Vertex : ({{{-2}}},{{{-3}}})
The min. value occurs at the vertex. 
{{{f(x)min=-2}}}
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{{{ graph( 300, 300, -5, 5, -5, 5, (x+2)^2-3) }}}