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3-13.

For each quadratic function below use the method of completing the square or averaging the ‑intercepts to rewrite the equation in graphing form. Then, state the line of symmetry and give the vertex of each parabola. Try to use each method at least once.

  1.  

    How many ones do you need to make a perfect square? How many do you have?

    2 by 2 square, labeled as follows: top edge left, x, top edge right, + 3, left edge top, x, left edge bottom, + 3, interiors: top left, x square, top right, 3, x, bottom left, 3, x.

    Added to square: interior bottom right, 9, right edge, + 6.


    vertex:
    axis of symmetry:

  2.  

    2 by 2 square, labeled as follows: top edge left, x, top edge right, minus 2, left edge top, x, left edge bottom, minus 2, interiors: top left, x square, top right, negative 2, x, bottom left, negative 2, x.

    Added to square; interior bottom right, 4, right edge, + 5.

  3.  

    Follow the hints in parts (a) and (b).

  4.