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9-43.

Examine the graph at right that shows three parabolas. The graph of is shown as a dashed curve.

  1. What is the domain of ? The range?

  2. Write possible equations for the two other parabolas.

    Notice the location of each vertex.

    Notice that one is vertically stretched and the other is inverted and vertically compressed.

  3. What is the domain of ? The range?

    Domain = all real numbers
    Range

Dashed upward parabola, labeled, f, of x, vertex at origin, Solid upward parabola, labeled, g of x, skinnier than dashed one, vertex at (6, comma 3). Downward parabola, consisting of open circles, labeled, h of x, with vertex at (6, comma 3), and wider than either upward parabola.