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Learning Goal

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Quadratic functions: standard, vertex, and factored forms

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

"Determine the most suitable form of the expression representing the output of the function to display key features for: • a quadratic function." "Make connections between a table, an algebraic representation, or a graph of a: • quadratic or exponential function that does not involve a transformation, not in context."

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"Determine the most suitable form of the expression representing the output of the function to display key features for: • a quadratic function."
"Make connections between a table, an algebraic representation, or a graph of a: • quadratic or exponential function that does not involve a transformation, not in context."

What you'll learn

  1. Choose the form of a quadratic function (standard, vertex, or factored) that displays the feature a question asks for, and produce that form by conversion
  2. Convert standard form to vertex form by completing the square (recalled from `sat-adv-equiv-ctsq`), including when the leading coefficient is not 1
  3. Convert standard form to factored form, read the zeros correctly from the factors, and recognize when no integer factored form exists
  4. Convert vertex form directly to factored form as a difference of two squares
  5. Expand vertex form or factored form back to standard form, and use the expansion to show that all three forms are the same function

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