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9-30.

Compute without a calculatorYour friend goes to a different school and she is not allowed to use a graphing calculator in her math class.

  1. Explain to her how she can get a good sketch of the graph of the function without using a calculator and without making an table. Be sure to explain how to locate the vertex, whether the parabola opens up or down, and how its shape is related to the shape of the graph of .

    There is a squared term, so this is a parabola.
    The stretch factor is . How does this affect the graph?
    Where is the vertex?

  2. Your friend also needs to know the ‑ and ‑intercepts. Help her determine them without drawing an accurate graph or using a graphing calculator.

    You can find the - and - intercepts by solving for when and by solving for when .