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# Transformations of Functions in a PDF, Study Aides and 6 Assignments

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Included in this zip folder are 10 PDF files. 4 are for instruction and 5 are assignments. A brief description of each:

PDF Instruction file #1 and #2 is all 10 transformations of 5 different functions. The student can visualize the transformations made from the parent function and relate the transformations to the equation. One PDF is for printing and 1 is for for viewing. The functions that are used to illustrate this are:

1. The squaring function y=x^2
2. The cubing function, y=x^3
3. The cosine function, y=cosx
4. The square root function, y=sqrtx
5. The natural log function, y=lnx

PDF Instruction file #3 and #4 are more visualizations of the following transformations. 1 PDF is for printing and 1 is for viewing.

1. Shift left/right
2. Shift up/down
3. Vertical stretch/shrink
4. Horizontal stretch/shrink
5. Vertical flip/horizontal flip

Assignment PDF #1. This is on 1 page for easy printing. This is a 20 question multiple answer assignment where the learner has to choose the family(families) of transformation(s) made by transposing f(x) onto g(x). The families are broken into the following"
A. Reflection family
B. Horizontal shrink/stretch family
C. Vertical shrink/stretch family
D. Horizontal translation (shift) family
E. Vertical translation (shift) family

Assignment PDF #2. This is 24 problems where the student has to identify the correct transformation from 10 choices. It is on 1 page for easy printing.

Assignment PDF#3. This is 24 more problems where the student must identify the correct transformation from 10 choices. This is on 1 page for easy printing

Assignment PDF#4. This is a 20 question assignment from my quadratic functions file. The student must identify vertical and horizontal translations as well as a vertical reflection. This assignment is also on socrative.com. The socrative share number is included in the file.

Assignment PDF#5. This is a 20 question multiple choice assignment.. The student must use the transformation rules to identify an eguation given a graph. There is a visual of the parent function f(x) and the transformed function g(x). 4 diffrent functions are used in this assignment. The functions are:

1. y=x^2
2. y=x^3
3. y=sqrtx
4. y=cosx

Assignment PDF#6. This is a 20 question multiple choice assignment. The student must identify transformation rules in functional notation. A quick example is f(x+2) is a shift left from f(x). The problems are both in notation form and on graphs.

Solutions are included for all assignments
Thank you for looking.
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