"The base of y = sin x has been transformed. It now has an amplitude of 8.6, a period of 28, a phase shift of 10 units to the right, a vertical translation of 2.5 units down, and a reflection to the x-axis. Given that (π/6, 1/2), is a point in the base function, use mapping notation to determine the x-coordinate of it's image point in the transformed function.

Enter numerical value of the x-coordinate only and rounded to two decimal places"

I have an idea on how to do this question, but I just really need some quick confirmation: the reflection of the x-axis will NOT AFFECT the X-INTERCEPT, only the y-intercept, right?

2 answers

Correction: the reflection of the x-axis will NOT AFFECT the X-COORDINATE, only the y-coordinate, right?
that is correct.