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timurjin [86]
3 years ago
7

Let f(x) = x3 + 9x2 − 3x − 1. Identify the function g that reflects f across the x-axis.

Mathematics
1 answer:
MakcuM [25]3 years ago
8 0

Using translation concepts, it is found that the function g that reflects f across the x-axis is given by:

g(x) = -x^3 - 9x^2 + 3x + 1

<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 in it's definition.
  • A reflection across the x-axis means that the function is <u>multiplied by -1</u>.

In this problem, the function is:

f(x) = x^3 + 9x^2 - 3x - 1

With the reflection across the x-axis, it is multiplied by -1, and hence:

g(x) = -x^3 - 9x^2 + 3x + 1

You can learn more about translation concepts at brainly.com/question/20720324

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