In this lesson, you will determine what expressions would produce graphs with particular vertices. We will look more closely at how changing the and the in a quadratic expression of the form translates the graph, and recall that the coefficient affects the direction of the opening of a parabola.
When you finish this lesson, you will be able to:
- Describe how changing a number in the vertex form of a quadratic function affects its graph.
Here are the activities that will help you reach those goals:
- 7.17.1: Quadratic Expressions in Different Forms
- 7.17.2: Modify Expressions to Translate Graphs
- 7.17.2: Self Check
- 7.17.2: Additional Resources
- 7.17.3: Changing the Parameters of a Quadratic Expression
- 7.17.3: Self Check
- 7.17.3: Additional Resources
- 7.17.4: Transforming the Parent Function
- 7.17.5: Equations of Graph Translations
After that, you’ll practice and review.
- 7.17.6: Practice
- 7.17.7: Lesson Summary