4.7%20Complete%20the%20Square

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4.7 Complete the Square
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Notice that half of 2 is 1 and (1)(1) 1
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Notice that half of 4 is 2 and (-2)(-2) 4
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Notice that half of 16 is 8 and (-8)(-8) 64
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Each of the trinomials we just looked at factored
to a perfect binomial square.
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What number would you have to replace c with to
make this trinomial a perfect binomial square?
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Hint take half of 6 and square it.
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What number would you have to replace c with to
make this trinomial a perfect binomial square?
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Hint take half of 14 and square it.
We will call this technique completing the
square.
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Completing the square is a method that lets us
solve any quadratic equation.
Solve
by completing the square.
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Solve
3
3
3
3
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Given a quadratic function in standard form you
can use completing the square to write it in
vertex form to identify the vertex of the graph
of the parabola.
Standard Form
Vertex Form
Vertex is (4, -5)
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Use completing the square!
Vertex (-1, -4)