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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) - 2

g(x) = f(x) + 2

g(x) = f(x + 2)

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 gx class=

Respuesta :

carlosego
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
trinitygilligan

Answer:

Plato fellows, I tried that answer ITS WRONG

Step-by-step explanation:

but literally just because of the placement of parenthesis, here's the correct answer. the correct answer in fact is,

D.           g(x) = f(x + 2)

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