Question

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)
The original function has been translated by
units.

Answer 1

To find the horizontal translation, we need to compare the x-values of the two functions.

From the given data, we can see that the two functions have the same y-values for x = 0, 1, and 2. This means that the two functions have been translated horizontally by the same amount.

By comparing the x-values of the two functions, we can see that the original function has been translated to the right by 3 units. Therefore, the original function has been translated by 3 units to the right.