[b]Investigate Completing the Square[/b]

1) Complete the square, when [math]a=1[/math][br][math](x+d)^2+e[/math][br][br]What do [math]d[/math] and [math]e[/math] affect on the graph?[br][br]2) How many solutions are there for different [math]e[/math] values of [math]ax^2+bx+c=0[/math]?[br][br]3) How does a value [math]a[/math] affect the values ?[br][br]Notice for all powers of [math]x[/math] factor the [b]coefficient[/b] of [math]x^2[/math]?