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    Stuck on these transformation questions.....

    The original curve is y= x^3 + 2x + 3

    I have to describe the transformation when the curves final equation is : y=(x+3)^3 + 2(x+3) +3

    y=8x^3 +4x+ 3

    y=(x/2)^3 + x + 3

    y = (2x+3)^3 + 2(2x+3) + 3

    I understand the concept of f(x) + a moves the graph up by a, but not sure how this relates to these complex equations.
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    (Original post by lew12932103)
    Stuck on these transformation questions.....

    The original curve is y= x^3 + 2x + 3

    I have to describe the transformation when the curves final equation is : y=(x+3)^3 + 2(x+3) +3

    y=8x^3 +4x+ 3

    y=(x/2)^3 + x + 3

    y = (2x+3)^3 + 2(2x+3) + 3

    I understand the concept of f(x) + a moves the graph up by a, but not sure how this relates to these complex equations.
    x is replaced by x-a means the graph shifts along the x-axis by a

    y is replaced by y-a means the graph shifts along the y-axis by a (NOTE: If you have y=f(x) then transforming it up by 5 is the same as saying y-5=f(x) which gives you the familiar y=f(x)+5 that you're used to)

    x is replaced by \frac{x}{a} stretches the graph along the x-axis by scale factor a

    y is replaced by \frac{y}{a} stretched the graph along the y-axis by scale factor a


    First one is a simple translation along x, second one is a certain stretch, so is the thid one, and 4th one is a combo of a stretch + translation.

    Have a go.
 
 
 
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