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7-46.

Consider the graph at right.

  1. What is the parent function for this graph?

  2. What is the equation of the vertical asymptote?

    Where does the vertical asymptote cross the -axis?

  3. Write a possible equation for this graph.

    How is the graph shifted?

    This equation is of the form . Notice that the point is on the graph. Use this point to determine the base.

Increasing curve, opening downward, in first & fourth quadrants, x, = 2, is vertical asymptote: as x's get closer to 2, from the positive, y's get very negative. Curve passes through the point (3, comma 0), and continues to increase slowly.