On their Team Assessment, Raymond, Sarah, Hannah, and Aidan were given $y=4x^2−24x+7$ to change into graphing form. Raymond noticed that the leading coefficient was a $4$ and not a $1$. His team agreed on a way to start rewriting, but then they worked in pairs and got two different solutions, shown below.

Raymond and Hannah

(1)  $y=4x^2−24x+7$
(2)  $y=4(x^2−6x)+7$
(3)  $y=4(x^2−6x+3^2)+7−36$
(4) $y=4(x−3)^2−29$

Aidan and Sarah

(1)  $y=4x^2−24x+7$
(2)  $y=4(x^2−6x+9)+7−9$
(3)  $y=4(x−3)^2+7−3^2$
(4)  $y=4(x−3)^2−2$