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Completing the Square.  There is another way to find the minimum or maximum values of quadratic functions.

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Presentation on theme: "Completing the Square.  There is another way to find the minimum or maximum values of quadratic functions."— Presentation transcript:

1 Completing the Square

2  There is another way to find the minimum or maximum values of quadratic functions.

3 Example: Find the minimum or maximum value.

4 Now find the vertex… Find the y-value firstNow give the vertex.

5 Example: Find the minimum or maximum value.

6 Now find the vertex.

7 Completing the Square  The process of making a quadratic expression into a perfect square by adding half the coefficient of the x term squared is called completing the square.

8 Completing the square  Process by which you force a quadratic expression to factor 

9  We use completing the square in order to find vertex form of a quadratic.

10 Complete the square to find the vertex form. Then find the vertex, los, and max/min.

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18 Factoring IB Notation → Factorisation

19 GCF  Greatest Common Factor  ALWAYS check to see if there is a common factor in each term 1st.  If so, factor it out.

20 Factor and identify the GCF.

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25 Trinomial Factoring x² coefficient is 1.

26 Factorise (IB Notation)

27 Factorise

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31 Trinomial Factoring x² coefficient is NOT1.

32 Factorise

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