Transformation is a process that involves either increasing, or decreasing the size of a given object, or changing its orientation to produce an image.
The required transformations are:
i. For graph a - translation.
ii. For graph b - dilation.
Rigid transformation involves a change in the orientation of a given object or resizing of a given object to produce an image. The types of transformation are reflection, translation, rotation, and dilation.
i. Reflection is a type of transformation that requires flipping a given object about a reference point or line.
ii. Translation is a type of transformation that involves moving an object in a particular direction without a change in its size and orientation.
iii. Rotation is a type of transformation that involves turning an object at a given angle about a reference point.
iv. Dilation is a type of transformation that require increasing or decreasing the size of the object using a given factor.
Therefore the necessary transformation to transform the blue graph of f(x) into the red graph of g(x) is:
a. For graph a is translation.
b. For graph b is dilaton.
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