Parent Function Worksheet 1 - Mayfield High School
Math 3 Name:
2-5 Additional Practice
Directions: Without a calculator, give the name of the parent function, give the equation of the parent function, graph the given function and the parent function, and describe the transformation of the parent function to the given function.
1. g(x) = -(x+3)2 – 1 Name of Parent Function: _______________________
Equation of Parent Function: ____________________
Graph:
Transformation:________________________________
2. g(x) = [pic] Name of Parent Function: _______________________
Equation of Parent Function: ____________________
Graph:
Transformation:________________________________
3. h(x) = [pic] Name of Parent Function: _______________________
Equation of Parent Function: ____________________
Graph:
Transformation:________________________________
4. g(x) = [pic] Name of Parent Function: _______________________
Equation of Parent Function: ____________________
Graph:
Transformation:________________________________
Directions: Identify the domain and range of the function using interval notation (you may want to sketch a graph). Describe the transformation of the given function from its parent function.
5. g(x) = [pic] Domain : _____________________ Range : ___________________
Transformation:_____________________________________________
6. h(x) = - x2 + 1 Domain : _____________________ Range : ___________________
Transformation:_____________________________________________
7. h(x) = [pic] Domain : _____________________ Range : ___________________
Transformation:_____________________________________________
8. f(x) = [pic] Domain : ________________ Range : ___________________
Transformation:_____________________________________________
9. h(x) = - (x + 9) 2 Domain : _____________________ Range : ___________________
Transformation:_____________________________________________
Directions: Given the parent function and a description of the transformation, write the equation of the transformed function, f(x).
10. Absolute value—vertical shift up 5, horizontal shift right 3.
____________________
11. Square Root— Reflection over the x-axis, horizontal shift left 2.
_____________________
12. Inverse Variation (odd power) —Reflection over the x-axis, horizontal shift left 8, vertical translation down 3.
____________________
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