Answer:
[tex]y=2(x-2.5)^2-1.5[/tex]
Step-by-step explanation:
[tex]y=2x^2-10x+11[/tex]
Factor highest common numerical factor of the first two terms:
[tex]y=2(x^2-5x)+11[/tex]
Add [tex](\frac{-5}{2})^2[/tex] inside the parentheses and subtract [tex]2(\frac{-5}{2})^2[/tex]:
[tex]y=2(x^2-5x+6.25)+11-12.5[/tex]
[tex]y=2(x^2-5x+6.25)-1.5[/tex]
Factor parentheses:
[tex]y=2(x-2.5)^2-1.5[/tex]
