Complete the tables to show the parent function y=f(x)
and its translation y=f(x+5)
. (2 points)
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
To find the values for the translated function, we need to substitute x+5 into the equation of the original function and calculate the corresponding y-values.
Original Function
x
y=f(x)
−2
5
−1
2
0
1
1
2
2
5
Translated Function
x
y=f(x+5)
−2+5=3
5
−1+5=4
2
0+5=5
1
1+5=6
2
2+5=7
5