In this lesson, you learned how to:

• Describe how changing a number in the vertex form of a quadratic function affects its graph.

Here are the activities that helped you reach those goals:

• 7.17.1: Quadratic Expressions in Different Forms
  • In this activity, you matched graphs with their equations by comparing values.
• 7.17.2: Modify Expressions to Translate Graphs
  • In this activity, you shifted graphs by changing the vertex and writing the correct vertex form given the vertex and the direction of the parabola opening.
  • 7.17.2: Self Check
  • 7.17.2: Additional Resources
• 7.17.3: Changing the Parameters of a Quadratic Expression
  • In this activity, you changed parameters that found the equation needed to represent the context given. You found the equation of the parabola that modeled the path a peanut needed to take to jump over the wall in a simulation.
  • 7.17.3: Self Check
  • 7.17.3: Additional Resources
• 7.17.4: Transforming the Parent Function
  • In this activity, you were given pieces of parabolas and worked to find the equation of each piece and justify your reasoning.
• 7.17.5: Equations of Graph Translations
  • In this activity, you looked at both graphs and equations and declared the translations that were made from the parent function $f(x)=x^2$ to the new equation.

After these activities, you completed the following practice:

• 7.17.6: Practice