Podcast
Questions and Answers
What effect does replacing f(x) with f(x) + k have on the graph of a quadratic function?
What effect does replacing f(x) with f(x) + k have on the graph of a quadratic function?
When analyzing the transformation of the function f(x) to kf(x), what does a positive value of k indicate?
When analyzing the transformation of the function f(x) to kf(x), what does a positive value of k indicate?
If a quadratic function is transformed using f(kx), what aspect of the graph is affected by a value of k greater than 1?
If a quadratic function is transformed using f(kx), what aspect of the graph is affected by a value of k greater than 1?
What does the transformation f(x + k) accomplish when k is negative?
What does the transformation f(x + k) accomplish when k is negative?
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How can you determine the value of k from the graphs of two quadratic functions?
How can you determine the value of k from the graphs of two quadratic functions?
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Study Notes
Transformations of Quadratic Functions
- Students will learn how changing parts of a quadratic function's equation (like adding a constant, multiplying by a constant, or changing the input) affects the graph.
- Identifying the transformation type from comparing graphs.
- Determining the constant 'k' value from a graph.
- Graphing the transformed quadratic function given the equation.
- Writing equations for transformed quadratic functions based on descriptions and the original (parent) quadratic function.
- Understanding positive and negative values of 'k' in relation to the graph transformations as well.
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Description
This quiz focuses on the transformations of quadratic functions, exploring how changes in the equation affect the graph. Students will identify transformation types, graph transformed functions, and write equations based on descriptions. A key component includes understanding the role of constant 'k' in these transformations.
