Two exponential functions, f and g, are shown in the figure below, where g is a transformation of f.Which of the rules given below shows the transformation of f?g(x) = f(x - 2)g(x) = f(x) - 2g(x) = f(x) + 2g(x) = f(x + 2)
Question
Answer:
The first thing we are going to do in this case is to take into account the following definition.Translations are transformations that change the position of the graph of a function.
The general shape of the graph of a function is moved up, down, to the right or to the left.
The translations are considered rigid transformations. Now we will see how these are performed.
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
To graph y = f (x) -k, move the graph of k units down.
Using the definition we conclude that:
g (x) = f (x) - 2
Answer:
g (x) = f (x) - 2
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general
11 months ago
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