CPM Homework Help : INT3 Problem 2-136

On their Team Assessment, Raymond, Sarah, Hannah, and Aidan are given $y=4x^2-24x+7$ to change into graphing form. Raymond notices that the leading coefficient is a $4$ and not a $1$ . His team agrees on a way to start rewriting and they do Steps 1 through $3$ the same, but then they work in pairs and get two different solutions, shown below.

Raymond and Hannah		Aidan and Sarah
	(1) $y=4x^2-24x+7$
	(2) $y-7=4x^2-24x$
	(3) $y-7=4(x^2-6x)$
(4) $y-7+4(3^2)=4(x^2-6x+3^2)$		(4) $y-7+9=4(x^2-6x+9)$
(5) $y+29=4(x-3)^2$		(5) $y+2=4(x-3)^2$
(6) $y=4(x-3)^2-29$		(6) $y=4(x-3)^2-2$

Who is correct? Justify your answer by showing that graphing form of the correct equation is equivalent to the original equation.

Hint:

Start with the end result each team gave and work backwards.
Which one leads back to the original equation?