The graph below depicts a quadratic function f(x). Let brepresent the distance from the red line to the x-axis. Find the distance indicated in red (in terms of b): Distance : The graph below depicts the same parabola f(x). Let a represent the distance from the red line to the y-axis. Find the distance indicated in red (in terms of a): Distance :

The data in the table shows the number of mother-to-child HIV infections diagnosed in the United States in various years from 1985 to 2005. How can we learn from the data? Practice the following questions: 1. Make a scatter plot to display the data. You can use any graphing technology. Why would a quadratic model make sense? 2. Determine an equation for this relation. Which form (standard, vertex or factored) do you think is the best for these data and why? 3. Based on your model, will the number of HIV cases ever be reduced to zero? If so, when? Explain reasoning.