Question

Need help asap please

Answer 1

B

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

Answer 2

B

Explanation:

A

`y=2(x^2+6x+9)-7\\=2x^2+12x+18-7\\=2x^2+12x+11`

Incorrect;

B

`y=2(x^2-6x+9)-7\\=2x^2-12x+18-7\\=2x^2-12x+11`

Correct;

C

`y=2(x^2-12x+36)+5\\=2x^2-24x+72+5\\=2x^2-24x+77`

Incorrect;

D

`y=2(x^2+12x+36)+2\\=2x^2+24x+72+2\\=2x^2+24x+74`

Incorrect.