At about the 2:53 mark, the teacher says that a > 1 means that the graph opens upward. He should have said that if a is positive, then the graph opens upward.
Also, a is not greater than 1 in this example (a=1).
This lesson teaches you how to write a quadratic equation in standard form and find the vertex of the graph. By completing the square, you can obtain the necessary values for standard form and then use them to sketch the graph. Remembering to use the formula b over 2a squared is key to ensuring you get a perfect square. Once you have your equation in standard form, you can determine the vertex of the graph and whether it will open upwards or downwards based on the value of "a".
How to write an equation in standard form and find the vertex
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