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IB Mathematics HL– Complete the square

How can we complete the square and find the vertex of the following quadratic function:

Thanks

How can we complete the square and find the vertex of the following quadratic function:

Thanks

- Max
**Posts:**0**Joined:**Mon Jan 28, 2013 8:06 pm

IB Mathematics HL – Complete the square

Completing the square is a procedure for reformatting quadratic functions.

Quadratic Functions of the form can be rewritten as

The major reason for doing this is that it allows us to easily see the vertex of the curve which is located at the point .

The general method of completing the square can be shown like this:

Therefore the x-coordinate of the vertex is

Concerning your question if we follow the preceding procedure we have:

Therefore the coordinates of the vertex are

Hope these help!!

Completing the square is a procedure for reformatting quadratic functions.

Quadratic Functions of the form can be rewritten as

The major reason for doing this is that it allows us to easily see the vertex of the curve which is located at the point .

The general method of completing the square can be shown like this:

Therefore the x-coordinate of the vertex is

Concerning your question if we follow the preceding procedure we have:

Therefore the coordinates of the vertex are

Hope these help!!

- miranda
**Posts:**268**Joined:**Mon Jan 28, 2013 8:03 pm

Thank you miranda!!

- Max
**Posts:**0**Joined:**Mon Jan 28, 2013 8:06 pm

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