Find the coordinates of the vertex. Is it a maximum or minimum point?
The coordinate of the vertex is .
A quadratic function, which is written in the form, , where, is called the standard form of the quadratic function
The graph of the function
Opens upward and has a minimum value at , when .
Opens downward and has a maximum value at , when .
The maximum or minimum point of the function , is called the vertex.
Compare the quadratic function with the standard equation of the quadratic function, .
Substitute, and role="math" localid="1647752801168" in .
So, the graph of the function opens upward and has a minimum point at .
Substitute in .
Therefore, the coordinate of the vertex is .
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