**b)** Convert to standard form by completing the square:

*Step 1:* In this case, a=2, so we need to do something different: factor out the 2, but only for the x terms:

Now take half of the **b** term (in this case, b=2) and square it.

*Step 2:* **Important:** Add that number to the equation inside the brackets. **Note that we actually added 2 to this equation**, because there is a 2 outside of the brackets. We have to now subtract 2 from the equation outside the brackets. Why? So that you are actually just adding **0** to the equation.

*Step 3:* You now have a perfect square (because 1+1=2, and 1*1=1), so group those terms together and factor:

**This is a parabola in standard form
with a=2, and the vertex is at (p,q)=(-1,1).**

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