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Completing the Square

Completing the Square 1.8 - Solution

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To rewrite the given quadratic function in vertex form, we will start by factoring out so the coefficient of will be We can see that Let's use this to calculate
Simplify
Let's now factor the function by completing the square. We will first add Note that we also have to subtract to leave the function unchanged.
Simplify
Now we know that the vertex form is