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Here are some examples of transformations on algebraic equations representing functions. The graph of the original function is shown with a broader line than its image under the translation.
Translations slide the figure vertically or horizontally and do not change its size or shape.
Transformed function is x 3 Transformed function is x 2
1. f(x) = x 3 + 3 2. g(x) = x 2 + 4
 
3. f(x) = x 3 - 3 4. g(x) = x 2 - 4
 
5. f(x) = (x + 3) 3 6. g(x) = (x + 4) 2
 
7. f(x) = (x - 3) 3 8. g(x) = (x - 4) 2
 
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