Answer:
B
Step-by-step explanation:
A
[tex]y=2(x^2+6x+9)-7\\=2x^2+12x+18-7\\=2x^2+12x+11[/tex]
Incorrect;
B
[tex]y=2(x^2-6x+9)-7\\=2x^2-12x+18-7\\=2x^2-12x+11[/tex]
Correct;
C
[tex]y=2(x^2-12x+36)+5\\=2x^2-24x+72+5\\=2x^2-24x+77[/tex]
Incorrect;
D
[tex]y=2(x^2+12x+36)+2\\=2x^2+24x+72+2\\=2x^2+24x+74[/tex]
Incorrect.
Answer:
B
Step-by-step explanation:
f(x) = 2x² - 12x + 11 ( factor out 2 from the first two terms )
y = 2(x² - 6x) + 11
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 6x
y = 2(x² + 2(- 3)x + 9 - 9) + 11
= 2(x - 3)² + 2(- 9) + 11
= 2(x - 3)² - 18 + 11
= 2(x - 3)² - 7 → B
