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).
How to write an equation in standard form and find the vertex
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Questions answered by this video:
How do I graph a parabola?
How do I write a quadratic equation in standard form?
How do I graph a quadratic equation?
How do I graph x^2+8x+10?
How do I graph 4x^2+4x+13?
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This lesson teaches how to take a quadratic equation and put it into standard form. It then shows how to graph the equation once it is in standard form.