Question

Find the corresponding point for g(x)=f(-2x-6)-4

Answer 1

To find the corresponding point for the function g(x)=f(-2x-6)-4, one needs to choose an x-value, apply the transformation to find the new x-coordinate, find the original y-value from f(x) at this new x-coordinate, and then subtract 4 for the vertical shift.

Step-by-step explanation:

The question involves finding the corresponding point for a transformed function g(x)=f(-2x-6)-4. The process requires us to first identify the corresponding x-value from a given function f(x) and then apply the transformation to find the new y-value for g(x). To find a corresponding point, we would do the following steps:

1. Choose an x-value that you want to find the corresponding point for.
2. Substitute this chosen x-value into the transformation, x'=-2x-6, to find the new x-coordinate x' for the function g(x).
3. Find the y-value from the original function f(x) at x'.
4. Apply the vertical shift to this y-value by subtracting 4, resulting in the new y-coordinate for g(x).