Extra Practice: 1.3 Parent Functions and Transformations

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What is a parent function?

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A parent function is the simplest form of a function type, which serves as a foundation for more complex functions. Examples include linear functions (y = x), quadratic functions (y = x^2), and absolute value functions (y = |x|).

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What is the general form of a quadratic function?

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How does a reflection over the x-axis affect a quadratic function?

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What does it mean to shift a function vertically?

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What does it mean to shift a function horizontally?

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Front

What is the vertex form of a quadratic function?

Back

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Changing the value of 'a' affects the width and direction of the parabola. If |a| > 1, the parabola is narrower; if 0 < |a| < 1, it is wider. If a < 0, the parabola opens downward.

Front

What is the absolute value function?

Back

Front

How do you identify a quadratic function from a graph?

Back

A quadratic function can be identified by its parabolic shape, which opens either upward or downward.

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