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1. Daniel is working on a project for his math class. He is working with the rational
parent function. He wants to write a rule that will make the graph vertically
stretched, reflect it over the x-axis, and shift the graph down. Which of the
following would meet Daniel's needs?

Respuesta :

Using translation concepts, it is found that the function that would meet Daniel's needs is:

g(x) = -cf(x) - b, c > 1, b > 0

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is f(x).

The transformations are as follows:

  • Vertical stretch, hence the function has to be multiplied by a constant c that is greater than 1, that is, [tex]g(x) = cf(x),  c > 1[/tex].
  • Reflection over the x-axis, hence the function is multiplied by -1, that is, [tex]g(x) = -cf(x), c > 1[/tex].
  • Shift down, hence a constant b is subtracted from the graph, that is, [tex]g(x) = -cf(x) - b, c > 1, b > 0[/tex].

You can learn more about translation concepts at https://brainly.com/question/21197885

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