Respuesta :
The function which represents the reflection of provided function across the x-axis is,
[tex]g(x) = -5(0. 8)x[/tex]
What is reflection of function?
The reflection of a function is flipping the original function with respect to a reference line.
The following steps used to for reflecting a the function-
- Select the function which has to be reflected.
- Select a baseline or reference line over which the function has to be reflected.
- Mark the corners of the function at the equidistant from the reference line as the original function has, but in the opposite direction.
- The reflected function is now is facing the opposite direction.
The function given in the problem is,
[tex]f(x) = 5(0. 8)x[/tex]
The function has the positive sign. Therefore, this function is located in the first quadrant.Now this function is reflected across the x-axis. This will lead this function in the fourth quadrant, with negative sign.
Therefore, the function become,
[tex]g(x) = -5(0. 8)x[/tex]
Hence, the function which represents the reflection of provided function across the x-axis is,
[tex]g(x) = -5(0. 8)x[/tex]
Learn more about the reflection here;
https://brainly.com/question/1908648
