Question 1032102
Here is an example.
{{{y=(x+5)^2}}} would have just the vertex touching the x axis and the point is  (-5,0).


{{{y=(x+5)^2+1/4}}} has NO zeros and the vertex neither will touch the x-axis, this point being  (-5,(1/4)).  What is the discriminant of this graph and equation?
{{{y=x^2+10x+25+1/4}}}
{{{y=x^2+10x+25&1/4}}}
Discriminant  {{{(10)^2-4*1*(25&1/4))}}}
{{{100-101}}}
{{{-1}}}----------a negative number.