Question

1. Daniel is working on a project for his math class. He is working with the rational

Answer 1

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, $g(x) = cf(x), c > 1$.

• Reflection over the x-axis, hence the function is multiplied by -1, that is, $g(x) = -cf(x), c > 1$.

• Shift down, hence a constant b is subtracted from the graph, that is, $g(x) = -cf(x) - b, c > 1, b > 0$.

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