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Math Help - Graph transformations

  1. #1
    BoF
    BoF is offline
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    Graph transformations

    hey need some help with a question im struggeling with:

    The equation of a curve is y=f( x ) where f( x )= x2 - 6x +14

    a ) complete the square for f, ( x )


    b) Hence Sketch the graph of y = f ( x ) and y = f(x+3)


    Whats really confusing me is how to complete the square, usually im ok with this as there are two terms for example

    Y = ax + bx
    y= ax - bx

    to that idea, anyway i cant see a way of there being two sets so just need a lil explaining thanks ^^
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  2. #2
    Member TheMasterMind's Avatar
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    Quote Originally Posted by BoF View Post
    hey need some help with a question im struggeling with:

    The equation of a curve is y=f( x ) where f( x )= x2 - 6x +14

    a ) complete the square for f, ( x )


    b) Hence Sketch the graph of y = f ( x ) and y = f(x+3)


    Whats really confusing me is how to complete the square, usually im ok with this as there are two terms for example

    Y = ax + bx
    y= ax - bx

    to that idea, anyway i cant see a way of there being two sets so just need a lil explaining thanks ^^
    f(x)=x^2-6x+14

    f(x)=(x^2-6x)+14

    f(x)=(x^2-6x+9-9)+14

    f(x)=(x^2-6x)+14-9

    f(x)=(x-3)^2+5

    3,5)" alt="V3,5)" />
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