Extrema and Intercepts of Quadratic Functions

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Exploration

GR. 9-12

Skill:

Find and interpret the maximum, the minimum, and the intercepts of a quadratic function.

Extrema and Intercepts of Quadratic Functions

Explore how the parts of a parabola are represented in its quadratic function.

Putting It All Together

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

Open-ended question 1

Describe a process for finding the -intercept of a quadratic function.

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Open-ended question 2

Describe a process for finding the -intercept(s) of a quadratic function.

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Open-ended question 3

Given a graph of a quadratic function, how can you tell if it has a maximum or a minimum?

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Open-ended question 4

Given an equation of a quadratic function, how can you tell if it has a maximum or a minimum?

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Open-ended question 5

Describe a process for finding the maximum or minimum of a quadratic function.

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