Question

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

Answer 1

f(x+4) goes with f(x) is translated 4 units to the right

Answer 2

Answer: f(x) is translated by 4 units left.

Step-by-step explanation:

If we do f(x) - 4, you are translating the graph of f(x) by 4 units down, you have that correct.

Now, if you do f(x +4), let's analyze what happens.

This means that the value of f(0) that before was on x = 0. it is now on x = -4 ( because x + 4 is equal to zero when x = -4)

This means that this point has moved 4 units to the left (or to the negative side of the axis) and is the same for every point in the graph.

So you can conclude that the whole graph has been translated by 4 units to the left.