Parent Function Worksheet 1

Parent Function Worksheet Name ______Pd. ___

# 1- 7 Give the name of the parent function and describe the transformation represented.

1. g(x) = x 2 – 1 Name: ___Quadratic______

Transformation:______Down 1______

2. f(x) = - 3 Name: ______Absolute Value______

Transformations:____Right 1, Down 3, skinnier__

3. h(x) = - Name: _____Square Root______

Transformations:______Right 2, Reflects over x axis______

4. g(x) = -x3+ 3 Name: ______Cube______

Transformations:______Reflect, Up 3______

5. g(x) = log2(x - 1) Name: _____Logarithm______

Transformation:_____Right 1______

6. f(x) = - 2 Name: _____Absolute Value______

Transformations:_____Left 5, Down 2______

7. h(x) = log5(x +2) - 3 Name: ______Logarithm______

Transformations:______Left 2, Down 3______

#8-12 Identify the domain and range of the function. Describe the transformation from its parent function.

8. g(x) = + 5 Domain : ______[0, ∞)______Range : _____[5,∞)______

Transformations:______Up 5______

9. h(x) = - x2 + 1 Domain : ____(-∞,∞)_____ Range : ____(-∞,1]_____

Transformations:______Reflect, Up 1______

10. h(x) = Domain : ____(-∞,∞)___ Range : ____(-∞,0]_____

Transformations:____Right 2, Reflect______11. f(x) = log3(x - 2) + 7 Domain : ___[3,∞)_____ Range : ___[7,∞)_____ Transformations:______Right 2, Up 7______

12. h(x) = log5(x ) - 4 Domain : ____[1,∞)____ Range : ______[-4,∞)______

Transformation:______Down 4______

#13 - 17 Given the parent function and a description of the transformation, write the equation of the transformed function, f(x).

13. Absolute value—vertical shift up 5, horizontal shift right 3. ______14. Radical—vertical shift down 4, horizontal shift left 2 ______15. Cubic—reflected over the x axis and vertical shift down 2 __y = -x3 - 2______

16. Logarithmic (base 7)—reflected over x axis, vertical shift up 3 __

17. Quadratic—vertical compression by .45, horizontal shift left 8. ______

18. Which graph best represents the function f(x) = 2x2 - 2? ____B______a. b. c. d.

19. Name the five parent functions that we are studying.

____Absolute Value______Quadratic______Logarithm___

_____Radical (Cube Root/Square Roots)___ _Polynomials (Cube, Quartic (4th power))__