You are Here: Home >< Maths

# C3 transformation Q Watch

1. Describe a sequence of two geometrical transformations that maps the graph of y=f(x) onto y=f(2x-1)

AQA C3 JUN 13

i feel that (2x-1)= 2(x-0.5)
therefore translation through [0.5, 0]
then stretch sf 1/2 parallel to x axis

however markscheme disagrees with me

can someone please explain why im wrong? thanks very much
2. Consider 2 separate transformations mapping f(x) to f(2x-1).
To get from f(x) to f(x-1) it is a translation through vector . Let us set f(x-1)=g(x).
Now to get from f(x-1) to f(2x-1) or equivalently from g(x) to f(2x-1) we do g(2x) which is a stretch parallel to the x axis, SF 1/2.
You could do these in the opposite order but there's a difference.
If we start with f(x) again, to get to f(2x) this time (doing the stretch first) it is a stretch parallel to the x-axis SF 1/2. Let us define f(2x) to be g(x).
To get from f(2x) to f(2x-1) or equivalently from g(x) to f(2x-1) we apply g(x-1/2) as we are replacing x with x-1/2 we get .

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: May 24, 2016
Today on TSR

### What is the latest you've left an assignment

And actually passed?

### Simply having a wonderful Christmas time...

Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• Poll
Useful resources

## Make your revision easier

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

Can you help? Study help unanswered threads

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.