Question

Suppose f(x) = x². Find the graph of f(x-4)

4
Click on the correct answer.
1
2 3
Click on each graph to enlarge it.
graph 1
graph 2
graph 3
graph 4
What’s the answer ?

Answer 1

1

Explanation:

Translation of a function h units to the right is accomplished by replacing x in the function definition with (x-h).

Here, x has been replaced by x-4, so we expect to see the graph look like the original function graph shifted 4 units to the right.

That matches Graph 1.