Let f (x) represent a function. Which descriptions match the given transformations? Drag and drop the answers into the boxes.

f (x-3.5) - - >

3.5f (x) - - >

f (x)

is translated 3.5 units down.

f (x)

is translated 3.5 units left.

f (x)

is vertically compressed by a factor of 3.5.

f (x)

is translated 3.5 units up.

f (x)

is vertically stretched by a factor of 3.5.

f (x)

is translated 3.5 units right.

For f (x - 3.5) the answer is that f (x) is translated 3.5 units right

You can figure that out by thinking that for x = 3.5 (which is 3.5 units to the right of x = 0, f (3.5 - 3.5) is the same that f (0), ... for x = 10.5 (which is 3.5 units to the right of x = 7, f (10.5 - 3.5) = f (7) ... and so for every value of x.

For 3.5 f (x) the answer is that f (x) is vertically stretched by a factor of 3.5 which you figure out from a table like this:

f (x) 3.5 f (x)

0 0

1 3.5

2 7

10 35

And from that you can see the 3.5 f (x) is horizontally compressed and vertically stretched respect to f (x).