Consider the quadratic function f(x) = x2 + 5x-6. %3D Determine the following: (enter all numerical answers as integers, fractions, or decimals): The smallest a-intercept is a = The largest a-intercept is a = The y-intercept is y = %3D The vertex is ). The line of symmetry has the equation

Find a, b, and c, so that the graph of the quadratic equation y=ax² +bx+c passes through (-3,33), (1, -7), and (3,9). What is the function? y=0 (Simplify your answer. Do not factor.). GILB

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.

Write the quadratic function in the vertex form. Then identify the vertex shown in the photo