Hey there! Sign in to join this conversationNew here? Join for free

AS Maths Question help- minimum point and Geometrical transformation Watch

Announcements
    • Thread Starter
    Offline

    13
    ReputationRep:
    Please can someone help with this question, kind of understand it but don't feel confident..

    A) x^2 - 7x + 2 in the form (x-p)^2

    I did (x - 7/2)^2 - 41/4


    B) Hence write down the minimum value of x^2 - 7x + 2
    Is this just -41/4? I'm not sure

    C) Describe the geometrical transformation which maps the graph of x^2 - 7x + 2 onto y= (x-4)^2

    I really don't understand this one, please help! Thank you
    Offline

    21
    ReputationRep:
    (Original post by jazz_xox_)
    Please can someone help with this question, kind of understand it but don't feel confident..

    A) x^2 - 7x + 2 in the form (x-p)^2

    I did (x - 7/2)^2 - 41/4

    B) Hence write down the minimum value of x^2 - 7x + 2
    Is this just -41/4? I'm not sure
    Perfect. I assume the question was to write it in the form (x-p)^2 + q though.


    C) Describe the geometrical transformation which maps the graph of x^2 - 7x + 2 onto y= (x-4)^2

    I really don't understand this one, please help! Thank you
    You have f(x) = (x-7/2)^2 - 41/4. Then f(x + a) + b = (x+a - 7/2)^2 - 41/4 + b. So what a,b do you need to turn f(x) into (x-4)^2?
    • Thread Starter
    Offline

    13
    ReputationRep:
    (Original post by Zacken)
    Perfect. I assume the question was to write it in the form (x-p)^2 + q though.
    You have f(x) = (x-7/2)^2 - 41/4. Then f(x + a) + b = (x+a - 7/2)^2 - 41/4 + b. So what a,b do you need to turn f(x) into (x-4)^2?
    Yes that was the part A of the question I get that it needs to be a translation (I think?) but still don't understand the formatting of it. This has never been my strong point
    Offline

    21
    ReputationRep:
    (Original post by jazz_xox_)
    Yes that was the part A of the question I get that it needs to be a translation (I think?) but still don't understand the formatting of it. This has never been my strong point
    So, you need to do a horizontal translation to turn the x-7/2 into a x-4 that's f(x+a) and a vertical transalation to turn the -41/4 to a -0 (that's f(x) + b)

    Like I referred to in my previous post, what values for a and b do you need to choose for that to happen?
    • Thread Starter
    Offline

    13
    ReputationRep:
    (Original post by Zacken)
    So, you need to do a horizontal translation to turn the x-7/2 into a x-4 that's f(x+a) and a vertical transalation to turn the -41/4 to a -0 (that's f(x) + b)

    Like I referred to in my previous post, what values for a and b do you need to choose for that to happen?
    Is it A= 1/2 and B +41/4?? Sorry if I'm completely off and thanks for your help!!
    Offline

    21
    ReputationRep:
    (Original post by jazz_xox_)
    Is it A= 1/2 and B +41/4?? Sorry if I'm completely off and thanks for your help!!
    Perfect! So that corresponds to a horizontal translation to the [what direction? Right or left?] by [how many?] units and a vertical translation in [what direction? up or down?] by [how many?] units.

    Reminder: f(x+a) is a horizontal transaltion to the left by a units and f(x) + b is a vertical translation upwards by b units.
    • Thread Starter
    Offline

    13
    ReputationRep:
    (Original post by Zacken)
    Perfect! So that corresponds to a horizontal translation to the [what direction? Right or left?] by [how many?] units and a vertical translation in [what direction? up or down?] by [how many?] units.

    Reminder: f(x+a) is a horizontal transaltion to the left by a units and f(x) + b is a vertical translation upwards by b units.
    Yay thank you soo much! A horizontal translation to the right by 1/2 units and a vertical translation up by 41/4 units? Thanks again, you are a life saver
    Offline

    21
    ReputationRep:
    (Original post by jazz_xox_)
    Yay thank you soo much! A horizontal translation to the right by 1/2 units and a vertical translation up by 41/4 units? Thanks again, you are a life saver
    Perfect.
    • Thread Starter
    Offline

    13
    ReputationRep:
    (Original post by Zacken)
    Perfect.
    Yay! I've just seen on your page that you are studying at Cambridge, wow -congratulations! Wishing you the best of luck
    Offline

    21
    ReputationRep:
    (Original post by jazz_xox_)
    Yay! I've just seen on your page that you are studying at Cambridge, wow -congratulations! Wishing you the best of luck
    Thank you very much.
    Offline

    2
    ReputationRep:
    (Original post by Zacken)
    Thank you very much.
    You're going to be told something similar about once a week for the rest of your life.
 
 
 
  • 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
    Should Spain allow Catalonia to declare independence?
    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
  • 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

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