The following rigid transformations are applied:
- Reflection around the line y = -1.
- Translation 5 units in the +y direction.
The solution set is found by the fact that the domain of quadratic functions is the entire real domain.
How to apply rigid transformations to understand the differences between two given functions
According to the Euclidean geometry, rigid transformations are those transformations applied on geometrical loci such that Euclidean distances are conserved in every point of the loci. Reflections and translations are sound examples of rigid transformations.
In this question we must derive all needed rigid transformations to turn f(x) into g(x), both quadratic functions. After a careful analysis we conclude that the following rigid transformations are applied:
- Reflection around the line y = -1.
- Translation 5 units in the +y direction.
The solution set is represent by all x-values such that the function exists. According to real algebra we remember that the domain of quadratic functions is the real domain. Thus, the solution sets of f(x) and g(x) are the real domain.
To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538
