Pure Mathematics Notes for Paper 1 syllabus code 9709 Cambridge assessment international education. Save my exams notes once off purchase. For the updated syllabus from 2023.
Full syllabus coverage for paper 1 for pure mathematics 9709.
All units included.
, Head to savemyexams.com for more awesome resources
1.5.1 Translations
Your notes
Translations
What are graph transformations?
When you alter a function in certain ways, the effects on the graph of the function can be
described by geometrical transformations
With a translation the shape, siz e, and orientation of the graph remain unchanged – the graph is
merely shifted (up or down, left or right) in the xy plane
A particular translation (how far left/right, how far up/down) is specified by a translation vector:
, Head to savemyexams.com for more awesome resources
Your notes
What do I need to know about graph translations?
⎛⎜ 0 ⎞⎟
The graph of y = f (x ) + a is a vertical translation of the graph y = f (x ) by the vector ⎜⎜ ⎟⎟
⎝a ⎠
The graph moves up for positive values of a and down for negative values of a
The x-coordinates stay the same
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller ndukulkn. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £2.29. You're not tied to anything after your purchase.