Question

Complete the tables to show the parent function y=f(x)
and its translation y=f(x+5)
. (2 points)
The table displays pairs of input-output for the original function.
Original Function
x y=f(x)

−2 5
−1 2
0 1
1 2
2 5

Translated Function
x y=f(x+5)

[?] | 5
[?] | 2
[?] | 1
[?] | 2
[?] | 5

Answer 1

For y = f(x + 5) we need x + 5 = original x, so x = (original x) − 5.

Translated Function
x y = f(x+5)
-7 5
-6 2
-5 1
-4 2
-3 5