Question

Use the tables to answer the question.

The table displays pairs of input-output for the function f(x).
x
f(x)

−1
0
0 1
1 2
2 9


x
g(x)

3 0
4 1
5 2
6 9
If y=f(x)
is the original function and y=g(x)
the horizontally translated function, by how many k units is the original function translated?



(1 point)

Answer 1

The outputs match when each input is increased by 4 (e.g. f(−1)=0 and g(3)=0), so the graph is translated 4 units to the right (k = 4).