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Function Transforms

Students will be able to transform parent functions

QuestionAnswer
How would the graph of y = | x - 2 | be transformed from the parent function y = | x |? The graph would be shifted two units to the right.
How would the graph of y = | x + 3 | be transformed from the parent function y = | x |? The graph would be shifted three units to the left.
How would the graph of y = | 4x | be transformed from the parent function y = | x |? The graph would be horizontally dilated by a factor of 1/4. (Also, it is said to be horizontally compressed).
How would the graph of y = 3 | x | be transformed from the parent function y = | x |? The graph would be vertically dilated by a factor of 3. (Also, it is said to be vertically stretched).
How would the table of y = | x - 2 | be transformed from the parent function y = | x |? Since it is inside the function, this affects the inputs and does it the opposite of what we'd expect. This would increase all of our x values by 2.
How would the table of y = | x + 3 | be transformed from the parent function y = | x |? Since it is inside the function, this affects the inputs and does it the opposite of what we'd expect. This would decrease all of our x values by 3.
How would the table of y = | 4x | be transformed from the parent function y = | x |? Since it is inside the function, this affects the inputs and it does the opposite of what we'd expect. This would divide all of our x values by 4.
How would the table of y = 3 | x | be transformed from the parent function y = | x |? Since it is outside the function, this affects the outputs. This would multiply all of our y values by 3.
How would the graph of y = | x | + 3 be transformed from the parent function y = | x |? The graph would be shifted three units up.
How would the graph of y = | x | - 2 be transformed from the parent function y = | x |? The graph would be shifted two units down.
How would the graph of y = -3 | x | be transformed from the parent function y = | x | ? The graph would be vertically dilated by a factor of 3. It will also be reflected across the x-axis.
How would the graph of y = | -4x | be transformed from the parent function y = | x | ? The graph would be horizontally dilated by a factor of 1/4. It will also be reflected across the y-axis.
How would the table of y = | x | + 3 be transformed from the parent function y = | x |? Since it is outside the function, this affects the outputs. This would increase all of our y values by 3.
How would the table of y = | x | - 2 be transformed from the parent function y = | x |? Since it is outside the function, this affects the outputs. This would decrease all of our y values by 2.
How would the table of y = -3 | x | be transformed from the parent function y = | x | ? Since it is outside the function, this affects the outputs. This would multiply all of our y values by -3.
How would the table of y = | -4x | be transformed from the parent function y = | x | ? Since it is inside the function, this affects the inputs and it does the opposite of what we'd expect. This would divide all of our x values by -4.
Created by: Dhiller