100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Summary - Pure Mathematics 1 (Paper 1) (9709) £2.22
Add to cart

Summary

Summary - Pure Mathematics 1 (Paper 1) (9709)

 5 views  0 purchase

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.

Preview 4 out of 32  pages

  • March 21, 2024
  • 32
  • 2023/2024
  • Summary
All documents for this subject (17)
avatar-seller
ndukulkn
Head to savemyexams.com for more awesome resources




AS Maths CIE Your notes

1.5 Transformations of Functions
Contents
1.5.1 Translations
1.5.2 Stretches
1.5.3 Reflections




Page 1 of 32

© 2015-2023 Save My Exams, Ltd. · Revision Notes, Topic Questions, Past Papers

, 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:




Page 2 of 32

© 2015-2023 Save My Exams, Ltd. · Revision Notes, Topic Questions, Past Papers

, 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




Page 3 of 32

© 2015-2023 Save My Exams, Ltd. · Revision Notes, Topic Questions, Past Papers

, Head to savemyexams.com for more awesome resources




Your notes




Page 4 of 32

© 2015-2023 Save My Exams, Ltd. · Revision Notes, Topic Questions, Past Papers

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

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

Quick and easy check-out

You can quickly pay through credit card for the summaries. There is no membership needed.

Focus on what matters

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 £2.22. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

52355 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy revision notes and other study material for 14 years now

Start selling
£2.22
  • (0)
Add to cart
Added