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
<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.
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,
.
- Reflection over the x-axis, hence the function is multiplied by -1, that is,
.
- Shift down, hence a constant b is subtracted from the graph, that is,
.
You can learn more about translation concepts at brainly.com/question/21197885