Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    2
    ReputationRep:
    Hey.
    For transforming f(x) to f(2x + 10).
    Would i be correct in saying that it is first a translation -10 units in the x direction then stretch scale factor 1/2 in the x direction?

    thanks
    Offline

    20
    ReputationRep:
    (Original post by SamuelN98)
    Hey.
    For transforming f(x) to f(2x + 10).
    Would i be correct in saying that it is first a translation -10 units in the x direction then stretch scale factor 1/2 in the x direction?

    thanks
    that is the order i would use.
    • Community Assistant
    Offline

    18
    ReputationRep:
    Community Assistant
    (Original post by SamuelN98)
    Hey.
    For transforming f(x) to f(2x + 10).
    Would i be correct in saying that it is first a translation -10 units in the x direction then stretch scale factor 1/2 in the x direction?

    thanks
    Edit: ignore what I wrote before. There was a tutorial I watched a while ago with trig graphs, it explains it well. https://www.youtube.com/watch?v=Isx6gM36szY
    Offline

    3
    ReputationRep:
    (Original post by SamuelN98)
    Hey.
    For transforming f(x) to f(2x + 10).
    Would i be correct in saying that it is first a translation -10 units in the x direction then stretch scale factor 1/2 in the x direction?

    thanks
    It's not -10 units in the x direction, since we have the following:
    y = f(x)
    g(x) = f(2x)
    g(x+5) = f(2(x+5)) = f(2x+10)

    So we stretch by a scale factor of 1/2 in x direction, then translate -5 in the x direction
    Offline

    5
    ReputationRep:
    What about f(x) to f(3x+9) ? SF 1/3 in x direction translation (-3,0)
    • Community Assistant
    Offline

    18
    ReputationRep:
    Community Assistant
    (Original post by theboss1998)
    I am quite sure that you should apply the translation first because if you have coordinate (20,0) then you move the point to the left by 10 then divide by 2 so it becomes 5. If you stretch first, it will be 10 then move it to the left by 10 which makes it 0, thats wrong!
    What makes you think it's wrong? Look at what ccharlie97 wrote.
 
 
 
Poll
Do you agree with the PM's proposal to cut tuition fees for some courses?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

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

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