Example 2

is a quadratic function. Determine the direction in which the function opens, the vertex, the axis of symmetry, the -intercept(s), and the -intercept. Use this information to sketch the graph.
  1. Determine whether the graph opens up or down.
  2. Find the vertex and the equation of the axis of symmetry.
  3. Find the -intercept.
  4. Find the -intercepts, if any exist.
  5. Plot the points from steps 2–4 and their symmetric points over the axis of symmetry.
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