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    the graph of y=f(x) is transformed to give the graph y=-f(x+3)
    the point A on the graph of y=f(x) is mapped to the point P on the graph of y=-f(x+3)
    the coordinates of point A are 9,1
    Find coordinates of point P

    im very confused as how to do this question, im aware what the transfomation is which is 3 to the left, but 3 to the left from where? how am i suppose to know what P originally was? thanks
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    What happens to the x values and y values after that transformation. Apply those changes to the x and y coordinates of the point to obtain new ones.
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    P was originally A if you read the question carefully.
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    Point A (9,1), apply the first part of the transformation (x+3) as you correctly said it moves it 3 to the left giving the new coordinate (6,1)
    Now let’s apply the minus giving us the point
    P (-6,-1). I haven’t done maths in a while
    But that should be correct
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    You need to be aware of the steps taken to transform the graph from y=f(x) to y=-f(x+3). For each step your x and y coordinate values will change. So starting with (9,1) apply each change to the coordinates depending on the change to the graph
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    (Original post by Howie_2114)
    Point A (9,1), apply the first part of the transformation (x+3) as you correctly said it moves it 3 to the left giving the new coordinate (6,1)
    Now let’s apply the minus giving us the point
    P (-6,-1). I haven’t done maths in a while
    But that should be correct
    Why the **** has 6 changed into -6?
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    (Original post by Radioactivedecay)
    What happens to the x values and y values after that transformation. Apply those changes to the x and y coordinates of the point to obtain new ones.
    they move 3 to the left, but im confused as to what P is, it doesnt say what the gradient of the line is so how do i know where P originally was so i can apply the trainsformation?
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    (Original post by Gent2324)
    they move 3 to the left, but im confused as to what P is, it doesnt say what the gradient of the line is so how do i know where P originally was so i can apply the trainsformation?
    P is orignally A. Read the question carefully.
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    (Original post by Radioactivedecay)
    P is orignally A. Read the question carefully.
    so does mapped mean changes into?
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    (Original post by Math12345)
    Why the **** has 6 changed into -6?
    Because the transformation is -f(x+3), once you’ve done the (x+3) you multiply that new coordinate by -1 to give the final coordinate P
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    (Original post by Gent2324)
    the graph of y=f(x) is transformed to give the graph y=-f(x+3)
    the point A on the graph of y=f(x) is mapped to the point P on the graph of y=-f(x+3)
    the coordinates of point A are 9,1
    Find coordinates of point P

    im very confused as how to do this question, im aware what the transfomation is which is 3 to the left, but 3 to the left from where? how am i suppose to know what P originally was? thanks
    The transformation isn't just 3 to the left tho is it. If the -ve is outside the f(x) then it's gunna multiply all the values of f(x) by -1, which will essentially reflect it in the x axis.

    If you know P, which is f(x) then you start from inside the brackets when you do these questions, so firstly move to the left by 3 like you rightly said. Then you can reflect it in the x axis and ta da
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    (Original post by Howie_2114)
    Because the transformation is -f(x+3), once you’ve done the (x+3) you multiply that new coordinate by -1 to give the final coordinate P


    -f(x+3) is the transformations: translation vector (-3 , 0) and reflection in the line y=0 (x-axis).
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    (Original post by BDunlop)
    The transformation isn't just 3 to the left tho is it. If the -ve is outside the f(x) then it's gunna multiply all the values of f(x) by -1, which will essentially reflect it in the Y axis.

    If you know P, which is f(x) then you start from inside the brackets when you do these questions, so firstly move to the left by 3 like you rightly said. Then you can reflect it in the Y axis and ta da
    (Original post by Radioactivedecay)
    P is orignally A. Read the question carefully.
    (Original post by Y11_Maths)
    You need to be aware of the steps taken to transform the graph from y=f(x) to y=-f(x+3). For each step your x and y coordinate values will change. So starting with (9,1) apply each change to the coordinates depending on the change to the graph
    (Original post by Howie_2114)
    Point A (9,1), apply the first part of the transformation (x+3) as you correctly said it moves it 3 to the left giving the new coordinate (6,1)
    Now let’s apply the minus giving us the point
    P (-6,-1). I haven’t done maths in a while
    But that should be correct
    great thanks everyone i think i get it now, you -3 and then you flip the Y value, its just a case of weirdly worded questions that confuse me
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    The amount of wrong answers on this thread *shaking my head*
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    (Original post by Math12345)
    The amount of wrong answers on this thread *shaking my head*
    which ones are wrong other than -6,-1 ?
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    (Original post by BDunlop)
    which ones are wrong other than -6,-1 ?
    You just changed y-axis to x-axis
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    (Original post by Math12345)
    You just changed y-axis to x-axis
    no I totally didn't..*walk of shame*

    embarrassing mistake, doesn't reflect my maths
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    It wasn't weirdly worded, you just have to break it down into steps.I would do the horizontal changes first, then the vertical, but it doesn't really matter.
 
 
 
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