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# Transformations of Curves watch

1. 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.
2. (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.
is replaced by means the graph shifts along the x-axis by

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

is replaced by stretches the graph along the x-axis by scale factor

is replaced by stretched the graph along the y-axis by scale factor

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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