Question

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

Answer 1

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

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

What is a translation?

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

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