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njkid
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Whats the difference between "Vertical Compression" and "Horizontal Compression"? Can you give me couple example? Thank you.
A transformation of a function is a change in the position, shape, or orientation of the graph of a function. It can be achieved by applying specific mathematical operations to the original function.
There are four main types of transformations: translations, reflections, dilations, and rotations. Each of these transformations has a specific effect on the graph of a function.
The type of transformation can be determined by looking at the equation of the function. Translations are indicated by adding or subtracting a constant value to the function, reflections are indicated by a negative coefficient, dilations are indicated by a coefficient other than 1, and rotations are indicated by trigonometric functions.
To graph a transformed function, start by plotting the original function. Then, apply the specific transformation to each point on the original graph. For example, if the function is translated 3 units to the left, you would subtract 3 from the x-coordinate of each point on the original graph to get the new points for the transformed graph.
Transformations do not affect the domain of a function, as it remains the same for both the original and transformed function. However, the range of a transformed function may change depending on the type of transformation. For example, a reflection or rotation may change the range, but a translation or dilation will not.