Algebra 2 Constructed Response #1:
Consider the function g(x) = -(x+3)2 + 1.
Part A. Describe all transformations that occur to the graph of f(x)= x2 to get g(x).
Part B. Create a table for g(x) that includes the vertex and at least 2 points on one side of the vertex.
Part C. Graph g(x) using points found in Part B. Label the vertex, axis of symmetry, y-intercept and
the x-intercepts.
Part D. Determine the domain and range for g(x). Write your answers in interval notation.
Algebra 2 Constructed Response #2:
Given P(x) = -x4 + x3 + 5x2 + x + 6, use a graphing calculator to do the following:
Part A. Find the zeros of the function. Round any zeros you find to the nearest tenth. Explain how
you found your answer step-by-step, as if you were explaining to a student who does not
know how to use a graphing calculator.
Part B. Identify any relative minima or maxima of the graph of the function as ordered pairs.
Indicate which are relative minima and which are relative maxima. Round any minima or
maxima to the nearest tenth. Explain how you found your answer step by step.
Part C. Find the range of the function. Write your answer in interval notation rounded to the nearest
tenth. Explain how you found your answer step-by-step.
Part D. Sketch the graph of the function. The viewing window is [-10, 10, 1, -10, 22, 2].