CPM Homework Banner

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.