Graph Transformations 3
We are going to put together the last two activities in this one areally test our understanding so far.
\n\nIn the Activity below we have drawn the graph of y = f(x) and y = f(x + a) + b where a = 0 and b = 0 to start with.
\n\nPredict the coordinates of the minimum point of the blue graph for each of these transformations. You can use the pen tool to mark your predictions on the activity.
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1) y = f(x + 2) + 4
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2) y = f(x - 3) - 2
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3) y = f(x +1) - 1
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4) y = f(x - 4) + 3
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5) y = f(x + 5) - 2
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6) y - 4 = f(x + 3)
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Use the sliders to adjust the values of a and b to check your answers.
Once you are happy with this type of transformation, have a look at Graph Transformations 4.
Ideas for Teachers
Having done Activities 1 and 2, this is a good test of their understanding of the concepts, by putting them together. Either get them to predict where the minimum points will be using the activity themselves (using scribble so you can see their work), or show it to them on the board, and get them to make predictions in their book, before asking one student to come to the front to scribble where they think the point will be and then use the constant controller to check.
Having done Activities 1 and 2, this is a good test of their understanding of the concepts, by putting them together. Either get them to predict where the minimum points will be using the activity themselves (using scribble so you can see their work), or show it to them on the board, and get them to make predictions in their book, before asking one student to come to the front to scribble where they think the point will be and then use the constant controller to check.
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