Examples of translation in the following topics:
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- A translation of a function is a shift in one or more directions.
- To translate a function vertically is to shift the function up or down.
- In general, a vertical translation is given by the equation:
- Let's use a basic quadratic function to explore vertical translations.
- Translating the function up the $y$-axis by two produces the equation:
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- The four main types of transformations are translations, reflections, rotations, and scaling.
- A translation moves every point by a fixed distance in the same direction.
- One possible translation of $f(x)$ would be $x^3 + 2$.
- This would then be read as, "the translation of $f(x)$ by two in the positive y direction".
- The function $f(x)=x^3$ is translated by two in the positive $y$ direction (up).
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- This type of symmetry is a translation over an axis.
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- To calculate a percentage of another percentage, you convert both percentages to decimals and multiply them, at which point you can translate the decimal result back to a fraction and then a percentage.
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- One difficulty with mathematical models lies in translating the real world application into an accurate mathematical representation.