Question

Which of the following describes the transformations of g (x) = negative (2) Superscript x + 4 Baseline minus 2 from the parent function f (x) = 2 Superscript x?

Answer 1

Using translation concepts, the transformations are described as follows:

• Reflection over the x-axis.

• Shifted up 4 units.

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.

In this problem, the parent function is:

$f(x) = 2^x$

The transformed function is:

$g(x) = -2^x + 4$

We have that the transformations in this problem can be described as follows:

• f(x) was multiplied by -1, hence it was reflected over the x-axis.

• 4 was added to the function, hence it was shifted up 4 units.

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

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