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Department of Mathematics
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Kansas Algebra Program


Unit 3 Exam Objectives - Quadratic and Absolute Value Functions


Students should be able to:
  1. Find the real or complex zeros of quadratic functions by the methods of factoring, taking square roots, completing the square, or using the quadratic formula.
  2. Use u-substitution to transform functions into quadratic form to find the zeros.
  3. Calculate the point(s) of intersection for two functions.
  4. Use the standard form f(x) = a(x - h)2 + k of a quadratic function to sketch the graph by transformations.
  5. Use the vertex, axis of symmetry, and intercepts to graph a quadratic function.
  6. Identify the range for a quadratic function by examining the graph.
  7. Find the maximum or minimum of a quadratic application algebraically.
  8. Find a quadratic function given the vertex and one additional point on the graph.
  9. Solve applications involving quadratic functions.
  10. Use a sign test and graph to solve a quadratic inequality.