function transformations

Post ID: 3458689

DB 9

Saturday, September 6, 2025, 11:57 PMNumber of replies: 19

For this week's discussion board we will investigate and learn about function transformations a little more in depth.

Consider the following functions:

A) $f(x)=\sqrt{-(x-1)}.$

b) $g(x)=\sqrt{-x+1}$ .

1) List and describe the transformations in f(x) in detail and in the correct order.

2) List and describe the transformations in g(x) in detail and in the correct order.

Clearly, if we distribute the sign inside the radical in the function f(x), then f(x) and g(x) are the exact same function.

3) Do these two sets of transformations give the same result when graphing? Explain why they are the same.

4) Graph both f(x) and g(x), and include the transformations in the right order for each. (You will need to upload a file using the "Insert" in the menu above. Use color pens or highlighters for each transformation, be creative! You can take a picture of your work, as long as it doesn't exceed 10MB. You can use free online file size reducers if your picture is too big).