Question 1183591

 to determine the coordinates the minimum point from the graph of the quadratic function, graph it :

{{{ graph( 600, 600, -15, 15, -15, 15, x^2+6x-1) }}}


 the minimum point is at ({{{-3}}},{{{-10}}})


or, find the vertex

{{{f(x)=x^2+6x-1}}}.......write in vertex form, complete square

{{{f(x)=(x^2+6x+b2)-b^2-1}}}........{{{b=6/2=3}}}

{{{f(x)=(x^2+6x+3^2)-3^2-1}}}

{{{f(x)=(x+3)^2-9-1}}}

{{{f(x)=(x+3)^2-10}}}=> {{{h=-3}}}, {{{k=-10}}}

 the minimum point is at ({{{-3}}},{{{-10}}})