### Home > INT3 > Chapter 2 > Lesson 2.3.1 > Problem2-136

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.