Not sure if you care to know but a quadratic equation has the form
y=A(x-s)^2+t
If A is negative that means the graph will be a frown if its positive then the graph will be a smile
If Its (x-s) that means the graph has been shifted to the right s units
and if its (x+s) the means the graph has been shifted left s units
+t means the graph has moved up t units and -t the graph has been moved down t units