What is the vertex form of 2x^2+12x+14

2 (x + 3) ^2 - 2

Step-by-step explanation:

1. Factor the 2 out of the equation (don't forget about it - it will be used later). This gives you x^2 + 6x + 7

2. Subtract the 7 over. This gives you x^2 + 6x = - 7

3. Take b (6), divide it by 2 (3), and square it (9). Then add that to both sides of the equation. This gives you x^2 + 6x + 9 = 2

4. Factor the left side of the equation. This gives you (x + 3) ^2 = 2

5. Subtract the 2 over. This gives you (x + 3) ^2 - 2

6. Remember that 2 we factored out of the equation earlier? Well that goes in front of the parentheses now, giving you the final answer of 2 (x + 3) ^2 - 2