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Nadusha1986 [10]
2 years ago
6

The graph shows f(x)and its transformation(x).

Mathematics
1 answer:
andre [41]2 years ago
8 0

Using translation concepts, the equation for function g(x) given in the graph is:

g(x) = 2^{x + 2}

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent function for this problem is given as follows:

f(x) = 2^x

From the graph, function g(x) was shifted 2 units left, hence x -> x + 2 and the definition is:

g(x) = 2^{x + 2}

More can be learned about translation concepts at brainly.com/question/28098112

#SPJ1

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