Graphing Transformations Techniques -- Team Project Packet B
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1 Name Course Days/Start Time Graphing Transformations Techniques -- Team Project Packet B This packet is to be completed by Student B working alone. It should be completed before Students A and B work together to complete Packet AB. Problem B1 Use the Graphing Techniques: Transformations -- Characteristics Worksheet to solve the problem. Write the equation/function you get when you spin the graph of y = x around the y-axis. Problem B2 Use the Graphing Techniques: Transformations -- Characteristics Worksheet to solve the problem. Use your knowledge of Graphing Techniques: Transformations to complete the missing table of coordinates. When graphed, an equation/function f(x) contains the points x y Based on that data, what are the corresponding points on the equation/function f( x)? x y Final Answer: (Complete the blank table above) 1
2 Problem B Use the Graphing Techniques: Transformations -- Characteristics Worksheet to solve the problem. When you start with the library function whose graph contains the points and you transform it into a new function whose graph contains the points this represents which type of transformation? (Circle one.) A horizontal (y-axis) reflection B vertical (x-axis) reflection C None of the other answers Problem B4 Use the Graphing Techniques: Transformations -- Characteristics Worksheet to solve the problem. Use your knowledge of Graphing Techniques: Transformations to complete the missing table of coordinates. When graphed, the equation y = x contains the points x y What are the corresponding points when graphing = x x y Final Answer: (Complete the blank table above)? 2
3 Problem B5 Use the Graphing Techniques: Transformations -- Characteristics Worksheet to solve the problem. One of the library functions has been transformed to create the graph. Write the equation of the function that matches the graph. Problem B6 Use the Graphing Techniques: Transformations -- Characteristics Worksheet to solve the problem. When you start with the library function whose graph contains the points and you transform it into a new function whose graph contains the points this represents which type of transformation? (Circle one.) A horizontal (y-axis) reflection B vertical (x-axis) reflection C None of the other answers
4 Problem B7 Consider the graph of f(x) on the right. Use the graph of f to complete the table and graph P(x) = f(x) on the same grid. f(x) P(x) =- f(x) Image Copyright 201 Pearson Education Step 2: Identify what you are being asked to create: (Circle Two) Final Answer: (Complete the table above and create the new graph on the same grid) Problem B8 Use the Graphing Techniques: Transformations -- Characteristics Worksheet to solve the problem. Write the equation/function you get when you spin the graph of y = x around the y-axis. Simplify. 4
5 Problem B9 Use the Graphing Techniques: Transformations -- Characteristics Worksheet to solve the problem. Write the equation/function you get when you spin the graph of y = x around the x-axis. Simplify. Problem B10 What do you notice about your answers to Problems B8 and B9? Why did this happen? What did you notice?: Why did this happen? (Fill in the blanks in the sentences below.) For any line of the form y = mx (where m is any real number), multiplying the right side by will result in the same equation as replacing x with because multiplication is commutative. Problem B11 Use the Graphing Techniques: Transformations -- Characteristics Worksheet to solve the problem. Write the function whose graph is the graph of y = x, but is stretched away from the y-axis using an a value of
6 Problem B12 Use the Graphing Techniques: Transformations -- Characteristics Worksheet to solve the problem. Use your knowledge of Graphing Techniques: Transformations to complete the missing table of coordinates. When graphed, an equation/function f(x) contains the points x y Based on that data, what are the corresponding points on the equation/function f(2x)? x y Final Answer: (Complete the blank table above) Problem B1 Use the Graphing Techniques: Transformations -- Characteristics Worksheet to solve the problem. When you start with the library function whose graph contains the points and you transform it into a new function whose graph contains the points this represents which type of transformation? (Circle one.) A horizontal compression B vertical compression C horizontal stretch D vertical stretch 6
7 Problem B14 Use the Graphing Techniques: Transformations -- Characteristics Worksheet to solve the problem. Use your knowledge of Graphing Techniques: Transformations to complete the missing table of coordinates. When graphed, the equation y = x contains the points x y What are the corresponding points when graphing = 2 x? x y Final Answer: (Complete the blank table above) Problem B15 Use the Graphing Techniques: Transformations -- Characteristics Worksheet to solve the problem. One of the library functions has been transformed to create the graph. Write the equation of the function that matches the graph. 7
8 Problem B16 Use the Graphing Techniques: Transformations -- Characteristics Worksheet to solve the problem. When you start with the library function whose graph contains the points and you transform it into a new function whose graph contains the points this represents which type of transformation? (Circle one.) A horizontal compression B vertical compression C horizontal stretch D vertical stretch 8
Graphing Transformations Techniques -- Team Project Packet A
Name Course Days/Start Time Graphing Transformations Techniques -- Team Project Packet A This packet is to be completed by Student A working alone. It should be completed before Students A and B work together
Graphing Transformations Techniques -- Partner Pairs Project Packet A
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