Completing the Square for Vertex Form

Completing the Square for Vertex Form

Explore how rewriting a quadratic expression reveals key features of its graph.


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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Open-ended question 1

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 ?

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Open-ended question 2

What are some characteristics you can interpret about any quadratic function that is written in the form ?

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Open-ended question 3

How does the process of completing the square help you gather information about the graph of a quadratic function?

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