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Need help with translations question

The following transformations take place on the y = tan x graph.

1. A stretch parallel to the x axis of scale factor 3
2. A translation 10 degrees in the positive x direction
3. A translation 2 units in the negative y direction

I got the answer y = tan (1/3x - 10/3) -2

However the answer states y = tan (1/3x - 10) - 2

I calculated my answer by doing
1. y = tan 1/3x
2. y = tan 1/3(x-10) - 2

I can't understand why this answer is wrong, could somebody please help me. Thanks
Reply 1
Original post by jamied96
The following transformations take place on the y = tan x graph.

1. A stretch parallel to the x axis of scale factor 3
2. A translation 10 degrees in the positive x direction
3. A translation 2 units in the negative y direction

I got the answer y = tan (1/3x - 10/3) -2

However the answer states y = tan (1/3x - 10) - 2

I calculated my answer by doing
1. y = tan 1/3x
2. y = tan 1/3(x-10) - 2

I can't understand why this answer is wrong, could somebody please help me. Thanks

The given answer is wrong - your answer is corrrect.
Reply 2
Thank you for your reply, that is a relief. I don't usually like to accuse the book of being wrong because it's usually right!

Explains why after 2 hours I couldn't work out where that answer came from haha.

Thanks

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