Completing the Square for Vertex Form
Explore how rewriting a quadratic expression reveals key features of its graph.
Task 1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Task 2
What can you tell about the graph of given its equation ? What else can you tell about the graph if the equation is rewritten as ?
Task 3
What are some characteristics you can interpret about any quadratic function that is written in the form ?
Task 4
How does the process of completing the square help you gather information about the graph of a quadratic function?