Question

Let f(x) represent a function.

Which descriptions match the given transformations?

Drag and drop the answers into the boxes.



f(x + 1/3):

f(x) - 1/3:

Answer choices: f(x) is translated 1/3 units up, f(x) is translated 1/3 units left, f(x) is translated 1/3 units right, f(x) is translated 1/3 units down, f(x) is vertically compressed by a factor of 1/3. f(x) is vertically stretched by a factor of 1/3.

Answer 1

The graphs of the functions can be transformed, obtaining related functions.Vertical and horizontal displacements: It is assumed that c is a positive constant, ie c> 0 and y = f (x) then
y = f (x) - c moves the graph c units down.
y = f (x + c) shifts the graph c units to the right.
The answers for the given case are:
f (x + 1/3): f (x) is translated 1/3 units right
f (x) - 1/3: f (x) is translated 1/3 units down