Question

HELP ASAP PLEASE AND SHOW WORK!!! Write the vertex form of the following equation. y= x^2+6x-5

Answer 1

Answer:

           $\boxed{\bold{y=(x+3)^2-14}}$

Step-by-step explanation:

y= x²+6x-5

completing the square:  a²+2ab+b² = (a+b)²  where a²=x² (so a=x) and 2ab=6x (so b would be 3):

$y=x^2+6x-5\\\\y=\underline{x^2+2\cdot x\cdot3+3^2}-3^2-5\\\\y=(x+3)^2-9-5\\\\\underline{y=(x+3)^2-14}\\\\\\vertex:\ \ (-3,\,-14)$