<p>Parent Function Worksheet Name ______Pd. ___</p><p># 1- 7 Give the name of the parent function and describe the transformation represented.</p><p>1. g(x) = x 2 – 1 Name: ___Quadratic______</p><p>Transformation:______Down 1______</p><p>2. f(x) = - 3 Name: ______Absolute Value______</p><p>Transformations:____Right 1, Down 3, skinnier__</p><p>3. h(x) = - Name: _____Square Root______</p><p>Transformations:______Right 2, Reflects over x axis______</p><p>4. g(x) = -x3+ 3 Name: ______Cube______</p><p>Transformations:______Reflect, Up 3______</p><p>5. g(x) = log2(x - 1) Name: _____Logarithm______</p><p>Transformation:_____Right 1______</p><p>6. f(x) = - 2 Name: _____Absolute Value______</p><p>Transformations:_____Left 5, Down 2______</p><p>7. h(x) = log5(x +2) - 3 Name: ______Logarithm______</p><p>Transformations:______Left 2, Down 3______</p><p>#8-12 Identify the domain and range of the function. Describe the transformation from its parent function.</p><p>8. g(x) = + 5 Domain : ______[0, ∞)______Range : _____[5,∞)______</p><p>Transformations:______Up 5______</p><p>9. h(x) = - x2 + 1 Domain : ____(-∞,∞)_____ Range : ____(-∞,1]_____</p><p>Transformations:______Reflect, Up 1______</p><p>10. h(x) = Domain : ____(-∞,∞)___ Range : ____(-∞,0]_____</p><p>Transformations:____Right 2, Reflect______11. f(x) = log3(x - 2) + 7 Domain : ___[3,∞)_____ Range : ___[7,∞)_____ Transformations:______Right 2, Up 7______</p><p>12. h(x) = log5(x ) - 4 Domain : ____[1,∞)____ Range : ______[-4,∞)______</p><p>Transformation:______Down 4______</p><p>#13 - 17 Given the parent function and a description of the transformation, write the equation of the transformed function, f(x).</p><p>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______</p><p>16. Logarithmic (base 7)—reflected over x axis, vertical shift up 3 __</p><p>17. Quadratic—vertical compression by .45, horizontal shift left 8. ______</p><p>18. Which graph best represents the function f(x) = 2x2 - 2? ____B______a. b. c. d. </p><p>19. Name the five parent functions that we are studying.</p><p>____Absolute Value______Quadratic______Logarithm___</p><p>_____Radical (Cube Root/Square Roots)___ _Polynomials (Cube, Quartic (4th power))__ </p>