Answer:
Step-by-step explanation:
we have
[tex]y=2x2-8x+9[/tex]
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex]y-9=2x2-8x[/tex]
[tex]y-9=2(x2-4x)[/tex]
[tex]y-9+8=2(x2-4x+4)[/tex]
[tex]y-1=2(x2-4x+4)[/tex]
[tex]y-1=2(x-2)2[/tex]
[tex]y=2(x-2)2+1[/tex]
the answer is the option C
[tex]y=2(x-2)2+1[/tex]
