#12 Naming Parent Functions Worksheet
Give the name of the parent function and describe the transformation represented.
1. g(x) = x
2
– 1 Name: ______________________________________
Transformation:________________________________
2. f(x) =
21x−
Name: ______________________________________
Transformation:________________________________
3. h(x) =
2x−
Name: ______________________________________
Transformation:________________________________
4. g(x) = x
3
+ 3 Name: ______________________________________
Transformation:________________________________
5. f(x) =
5
x +
- 2 Name: ______________________________________
Transformation:________________________________
Identify the domain and range of the function. Describe the transformation from its parent function.
6. g(x) = 3
x
Domain : _____________________ Range : ___________________
Transformation:_____________________________________________
7. h(x) = - x
2
+ 1 Domain : _____________________ Range : ___________________
Transformation:_____________________________________________
8. h(x) =
2x
−−
Domain : _____________________ Range : ___________________
Transformation:_____________________________________________
9. f(x) =
3
4
x
Domain : _____________________ Range : ___________________
Transformation:_____________________________________________
10. h(x) = 6 (x + 9)
2
Domain : _____________________ Range : ___________________
Transformation:_____________________________________________
Given the parent function and a description of the transformation, write the equation of the transformed
function, f(x).
11. Absolute value—vertical shift up 5, horizontal shift right 3. ____________________
12. Radical—vertical compression by
2
5
____________________
13. Cubic—reflected over the x axis and vertical shift down 2 ____________________
14. Quadratic—vertical compression by .45, horizontal shift left 8. ____________________
