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

*Step 1:* In this case, a=-2, so factor out the -2 term, but only for the x terms:

Now take half of the **b** term (in this case, b=(3/2)) and square it.

*Step 2:* **Important:** Add that number to the equation inside the brackets. **Note that we actually added to this equation**, because there is a -2 term outside of the brackets. We have to now **add** to 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 and , so group those terms together and factor:

Or, in decimal form:

**This is a parabola in standard form
with a=-2, and the vertex is at (p,q)=(0.75,-0.875).**

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