In this lesson, you learned how to:

• Create quadratic functions and graphs that represent a situation.
• Relate the vertex of a graph and the zeros of a function to a situation.
• Know that the domain of a function can depend on the situation it represents.

Here are the activities that helped you reach those goals:

• 7.6.1: Using Linear Functions to Describe Constant Speed
  • In this activity, you considered what happens if an object is launched up in the air unaffected by gravity. It reinforced your knowledge that an object that travels at a constant speed can be described with a linear function.
• 7.6.2: The Force of Gravity Change in Quadratic Functions
  • In this activity, you learned a model that accounts for the fact that an object that is launched straight up at a constant speed does not keep going at the same rate when the influence of gravity is taken into account. The big lesson was that adding a quadratic term to a linear function has an effect of “bending” the graph, as the output values are no longer changing at a constant rate.
  • 7.6.2: Self Check
  • 7.6.2: Additional Resources
• 7.6.3: Using Quadratic Functions to Describe Height
  • In this activity, you explored another model of a projectile motion. You graphed and interpreted a quadratic function in context and began considering a reasonable domain for the function.
  • 7.6.3: Self Check
  • 7.6.3: Additional Resources
• 7.6.4: Interpreting Graphs of Quadratic Functions
  • In this activity, you examined a quadratic function and its graph and identified what each term of the equation meant in the context of the situation graphed.

After these activities, you completed the following practice:

• 7.6.5: Practice