Transforming sin(x)
Graph cards
(a)
(b)
(c)
(d)
(e)
(f)
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Transforming sin(x)
(g)
(h)
(i)
(j)
(k)
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Transforming sin(x)
Instructions
Cut out the eleven graph cards and eleven function cards.
Match each graph with its function. It may be useful to find sin(x) first.
When finished, use your answers to explain how the graph of sin(x) has been transformed in each
case.
Function cards
½sin(x)
sin(½x)
sin(x + 90)
sin(2x)
sin(x – 45)
sin(-x)
sin(x) + 1
2sin(x)
-sin(x)
sin(x) – 2
sin(x)
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Transforming sin(x)
Teaching notes
The cards are not given in any particular order so can be given to students to cut out.
You could opt to only give students the Graph cards, so they have to find the transformations and
functions for themselves.
An interesting extension would be to combine two or more of the functions and ask the students to
sketch the graphs. For example, you could give students ‘2sin(x)’ and ‘sin(-x)’ and ask them to sketch
the graph of ‘2sin(-x)’.
Answers
(a)
sin(x)
(b)
sin(x + 90)
(c)
2sin(x)
(d)
sin(x) + 1
(e)
sin(x – 45)
(f)
sin(-x) or -sin(x)
(g)
sin(2x)
(h)
sin(-x) or -sin(x)
(i)
sin(½x)
(j)
sin(x) – 2
(k)
½sin(x)
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