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TRANSLATING FUNCTIONS  Compute without a calculator

  1. Graph the function . On the same set of axes graph a translation of the function that is shifted unit to the right and units down. Write the equation of the translated function.

    2 upward parabolas, top with vertex at the origin, bottom with vertex at the point (1, comma negative 5).

  2. Does the same strategy work for ? Write an equation that will shift  ,  unit to the right and units down.

  3. Compare the graphs of  and . Describe their similarities and differences.

    Both graphs are straight lines with the same slope. The second graph has been shifted both horizontally and vertically from

  4. Explain how you know that the graph of goes through the point and has a slope of .

    This is a straight line in Point-Slope form  form

  5. Sketch the graph of .

    Refer to the hint in part (d).