Convert an equation from standard form to vertex form and then graph when a=3 ex 19

The video tutorial explains how to convert a quadratic equation from standard form to vertex form by completing the square. It covers the steps to create a perfect square trinomial, factor it into a binomial squared, and identify the vertex of the parabola. The tutorial also demonstrates how to graph the equation using the vertex form, considering the direction and shape of the parabola based on the coefficient of the squared term.

What must you remember to do when you add a value inside the parentheses?

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Describe how to find the new vertex after completing the square.

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What is the behavior of the graph when the coefficient 'a' is less than one?

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