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Compute without a calculator Your friend is not allowed to use a graphing calculator in her math class.

  1. Explain to her how she can make a good sketch of the graph of the function without using a calculator and without having to make a table. Be sure to explain how to locate the vertex, whether the parabola opens upward or downward, and how its shape is related to the shape of the graph of .

    Where will the vertex be? Does the parabola open up or down? Is it vertically stretched?

  2. Your friend also needs to know the ‑ and ‑intercepts. Show her how to calculate them without having to draw an accurate graph or use a graphing calculator.

    Substitute for and solve for to find the -intercepts.
    Substitute for and solve for to find the -intercepts.