Please help
You are given the graph of a function f(x). at the right. Select which of the images below shows the graph of f(x+5) − 5.

Question

Please help
You are given the graph of a function f(x). at the right. Select which of the images below shows the graph of f(x+5) − 5.

jkbo · Answer

attachment

anonymous · Answer

There are several theorems that cover the translations of functions in the plane.  

Suppose you know the graph of a function f(x), then the graph of the function:
1.  f(x) + k is the graph of f(x) shifted vertically k units (k = +5 in your exercise, so the new function is translated up 5 units relative to the original)
2.  f(x - h) is the graph of f(x) shifted horizontally h units (h = -5 in your exercise, so the graph of the new function is translated left  units relative to the original)

jkbo · Answer

@gryphon so if it is going to the left it would be transrcimg2.png ?

anonymous · Answer

Which is the graph of f(x)?

jkbo · Answer

@gryphon I'm not sure

anonymous · Answer

By the way, I earlier wrote that k = +5, that was wrong, I misread the screen.  The graph has been shifted DOWN 5 units relative to the original.

anonymous · Answer

Do you think that images 1, 2, 3, and 4 are your possible answers?  then that would make the last image the graph of f(x).

anonymous · Answer

I don't blame you for having trouble with this.  the concept is not that difficult, but the images are horrible!

jkbo · Answer

@gryphon this is a part of the graph to

jkbo · Answer

you cant see the images?

anonymous · Answer

@jkbo If transcrimg5.png is the graph of f(x), then I believe that you are correct, that transcrimg2.png is the graph of f(x + 5) - 5; The graph in image 2 appears to be left 5, and down 5 from the graph in image 5.