Completing the square too vertex form

Completing the Square to Turn to Vertex Form

Since the vertex form looks like a square, you must make the standard form equation have a square

y=a(x-h)²+k - y=ax²+bx+c

For Example

Complete the square y=x² + 6x -2

1) If there is, remove the common factor and divide the equation by it

In this case, there is none

2) divide the b value by 2 and square it.

6/2² - 3² = 9

3) Put aside the c value and replace it with b/2². MAKE SURE, you also have to subtract b/2² because you can't the equation

y=(x²+6x+9) - 9 -2

4) Group the three terms that form perfect squares

y=(x²+6x+9) - 9 -2

5) Factor because it is now a square

y=(x+3)²-11

Question

Complete the square y=x² + 8x + 5