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in this lesson were going to talk about how to convert a quadratic function in standard form to vertex form and vice versa sometimes you may need to be able to do this so lets cover it in this video and a way to do it is to use the we need to complete the square basically half of six is three so were going to add three squared to both sides adding it to the left side is the same as subtracting it from the right side so we can add 3 squared to both sides or we can add 9 to the right side and also simultaneously subtract 9 from the right side 9 and negative 9 is zero so were not changing the value of the right side so lets do it that way now lets factor x squared plus six x plus three squared every time you complete the square youre creating a perfect square trinomial and to factor it you can see everything you need here first its x and then whatever this sign is its plus and then its this number before you square it three squared outside we have negative five minus nine so in
