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6.1 completing the square

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by the end of this lesson you will be able to:

- use the method of completing the square to change a quadratic from standard form to vertex form- you will also be able to identify and interpret the meaning of the vertex

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steps for completing the square

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sample problem

videos for this section:

1&2: completing the square with full explanation

3: completing the square with "some" explanation

4: Completing the square with no explanation (steps only)

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video #1

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video #2

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video #3

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video #4

Ontario curriculum

Overall Expectations

- solve problems involving quadratic relations.

Specific Expectations:

- identify the key features of a graph of a parabola (i.e., the equation of the axis of symmetry, the coordinates of the vertex, the y-intercept, the zeros, and the maximum or minimum value), and use the appropriate terminology to describe them;

- express y = ax2 + bx + c in the form y = a(x – h)2 + k by completing the square in situations involving no fractions, using a variety of tools

- solve problems arising from a realistic situation represented by a graph or an equation of a quadratic relation, with and without the use of technology