Transformation of graphs(International AS level pure maths)

[Thar Thar]

For (ii), can i write the transformation was translation by -2 in the x direction? (Another answer for (ii) would be horizontal stretch by scale factor 2?)

 

[Dr.Peterson]

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For (ii), can i write the transformation was translation by -2 in the x direction? (Another answer for (ii) would be horizontal stretch by scale factor 2?)

Yes, both answers are valid. The question wisely uses the phrase "could have been".

 

[blamocur]

View attachment 34002
For (ii), can i write the transformation was translation by -2 in the x direction? (Another answer for (ii) would be horizontal stretch by scale factor 2?)

For any two points in [imath]\mathbb R^n[/imath] there exists an easily computable translation which maps one point to another.

 

[Thar Thar]

Yes, both answers are valid. The question wisely uses the phrase "could have been".

Thank you so much.

 

[Thar Thar]

For any two points in [imath]\mathbb R^n[/imath] there exists an easily computable translation which maps one point to another.

Thanks a lot.

 

[Steven G]

View attachment 34002
For (ii), can i write the transformation was translation by -2 in the x direction? (Another answer for (ii) would be horizontal stretch by scale factor 2?)

Why do you ask that question for only question (ii)?
For (i), you could have said the transformation was a translation by 5 in the positive y-direction OR a vertical stretch by a scale factor of 3/8 --or is it called a vertical dilation of 3/8(???)

 

[Dr.Peterson]

Why do you ask that question for only question (ii)?
For (i), you could have said the transformation was a translation by 5 in the positive y-direction OR a vertical stretch by a scale factor of 3/8 --or is it called a vertical dilation of 3/8(???)

... or for (iii), which can be either a reflection or a translation.

In fact, you learn more from looking for multiple answers than from stopping with the "obvious" (whichever one seems obvious to you!). And we could interpret the question as asking for all possible answers (given that only a few types of transformations are considered as "single transformations" in the context -- contrast post #3).

 

[Thar Thar]

Why do you ask that question for only question (ii)?
For (i), you could have said the transformation was a translation by 5 in the positive y-direction OR a vertical stretch by a scale factor of 3/8 --or is it called a vertical dilation of 3/8(???)

To be honest, I thought there was only one transformation for (i) and (iii) and I could provide the answers for them.
Thank you.

 

[Thar Thar]

... or for (iii), which can be either a reflection or a translation.

In fact, you learn more from looking for multiple answers than from stopping with the "obvious" (whichever one seems obvious to you!). And we could interpret the question as asking for all possible answers (given that only a few types of transformations are considered as "single transformations" in the context -- contrast post #3).

You're right. I stopped with the obvious answer. Your advice is much appreciated.