Parent
Function
𝑓 ( 𝑥 ) = √𝑥
𝑓 (𝑥 ) = 𝑥
𝑓 (𝑥 ) = 𝑥 *
𝑓 (𝑥 ) = 𝑥 +
𝑓(𝑥 ) = |𝑥|
𝑓 ( 𝑥 ) = √𝑥
Ex.
1
2
3
4
5
Vertical
Translation
3 units down
𝑔 (𝑥 ) =
𝑓 (𝑥 )
1.
2.
3.
4.
5.
Horizontal
Translation
7 units left
ℎ (𝑥 ) =
𝑓 (𝑥 )
𝑔 (𝑥 )
Domain
𝑔 (𝑥 )
ℎ(𝑥 )
𝑓 (𝑥 )
ℎ (𝑥 )
Range
𝑔 (𝑥 )
ℎ(𝑥 )
Parent
Function
Vertical
Translation
7 units up
Horizontal
Translation
3 units right
𝑓 (𝑥 )
Domain
𝑔 (𝑥 )
ℎ(𝑥 )
𝑓 (𝑥 )
𝑓 (𝑥 ) = 𝑥
𝑓 (𝑥 ) = 𝑥 *
𝑓 (𝑥 ) = 𝑥 +
𝑓(𝑥 ) = |𝑥|
𝑓 ( 𝑥 ) = √𝑥
1
2
3
4
5
𝑓 (𝑥 )
1.
2.
3.
4.
5.
𝑔 (𝑥 )
ℎ (𝑥 )
Range
𝑔 (𝑥 )
ℎ(𝑥 )