SOLUTION: Can you help me write this in standard form? y=x^2+2x+2

Question 452786: Can you help me write this in standard form?
y=x^2+2x+2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To write in standard form, we must complete the square for

Start with the given expression.

Take half of the coefficient to get . In other words, .

Now square to get . In other words,

Now add and subtract . Make sure to place this after the "x" term. Notice how . So the expression is not changed.

Group the first three terms.

Factor to get .

Combine like terms.

So after completing the square, transforms to . So .

So is equivalent to .

which is now in standard form.
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