Question 748033
Not even need to put into standard form.  Just factor.

{{{x^2+7x=x(x+7)}}},


set to the equation {{{x(x+7)=0}}}, then roots are at 0 and -7.  Axis of symmetry is x exactly in the middle, {{{x=-3&1/2}}}.  Calculate what is {{{h(-3&1/2)}}} to get the vertex, which will be a minimum point.


{{{graph(300,300,-10,5,-14,1,x^2+7x)}}}