Question

omplete 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

Original function (given)
x: -2 -1 0 1 2
y: 5 2 1 2 5

Translated function y = f(x+5)
(To get y use f(x+5); i.e. x+5 must equal the original x. So x = original x − 5.)

x: -7 -6 -5 -4 -3
y: 5 2 1 2 5