Question

Rewrite the function by completing the square.

g(x)= x^2-x-6
g(x)- __(x+__)^2+___

Thanks :)

Answer 1

`g(x) = 1 (x+ -(1)/(2) )^(2) + -(25)/(4)`

Answer 2

Explanation:

• g(x) = x²- x - 6
• g(x) = x²- 2*1*1/2x + (1/2)² - (1/2)²-6
• g(x) = (x - 1/2)² - 6 1/4
• or
• g(x) = (x - 1/2)² - 25/4