Question

Compare: These two equations

Answer 1

Using translation concepts, we have that:

• Function f(x) underwent a reflection over the y-axis.

• Function g(x) underwent a reflection over the x-axis.

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.

For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.

More can be learned about translation concepts at brainly.com/question/4521517

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