Which of the following tables shows the correct steps to transform x2 + 6x + 8 = 0 into the form (x − p)2 = q? [p and q are integers] a. step 1 x2 + 6x + 8 − 1 = 0 − 1 step 2 x2 + 6x + 7 = −1 step 3 (x + 3)2 = −1 b. step 1 x2 + 6x + 8 + 1 = 0 + 1 step 2 x2 + 6x + 9 = 1 step 3 (x + 3)2 = 1 c. step 1 x2 + 6x + 8 − 2 = 0 − 2 step 2 x2 + 6x + 6 = −2 step 3 (x + 3)2 = −2 d. step 1 x2 + 6x + 8 + 2 = 0 + 2 step 2 x2 + 6x + 10 = 2 step 3 (x + 3)2 = 2

To express a quadratic function of the form  into its vertex form  (p and q are integers), we are going to use the completing square method:
Step 1
Add 1 to both sides of the equation:


Step 2
Perform the operations:

Step 3
Notice that , so we can rewrite our expression as follows:



We can conclude that the correct steps to transform x2 + 6x + 8 = 0 into the form (x − p)2 = q [p and q are integers] are:
B. Step 1x2 + 6x + 8 + 1 = 0 + 1 
Step 2x2 + 6x + 9 = 1 
Step 3(x + 3)2 = 1 

The answer to your question is b’(16,14)

The answer to your question is 1/9