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.
- Determine whether the graph opens up or down.
- Find the vertex and the equation of the axis of symmetry.
- Find the -intercept.
- Find the -intercepts, if any exist.
- Plot the points from steps 2–4 and their symmetric points over the axis of symmetry.