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# C1 Graph transformations of 1/x graphs

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1. Here is a graph of

Find the Co-ordinates where touches any of the co-ordinate axis.

how would i know the graph moves to the left using the y=f(x+2) rule which moves the graph to the left by 2 units?
2. (Original post by thefatone)
...
You have the . Then shifts the graph two units to the left, so there will be one intersection with the y-axis.

This is given when . The shift is horizontal and hence there is still no x-axis intersections.
3. (Original post by Zacken)
You have the . Then shifts the graph two units to the left, so there will be one intersection with the y-axis.

This is given when . The shift is horizontal and hence there is still no x-axis intersections.
so it doesn't matter where the x is in this one? so if this function has a 2x then i half the x -value for example?
4. (Original post by thefatone)
so it doesn't matter where the x is in this one? so if this function has a 2x then i half the x -value for example?
I don't understand what you're saying.
5. (Original post by Zacken)
I don't understand what you're saying.
so if the function instead of was would the x-values be halved? i don't think this function would touch any axis right?
6. (Original post by thefatone)
so if the function instead of was would the x-values be halved? i don't think this function would touch any axis right?
It would represent and horizontal stretch scale factor or a vertical stetch scale factor (the vertical/horizontal thingies being the same is due to the fact that 1/x is its own inverse function. Cool, right? Anyways, doesn't matter). There still wouldn't be any axis intersections, yes. It is not a shift, just a stretch.
7. (Original post by Zacken)
It would represent and horizontal stretch scale factor or a vertical stetch scale factor (the vertical/horizontal thingies being the same is due to the fact that 1/x is its own inverse function. Cool, right? Anyways, doesn't matter). There still wouldn't be any axis intersections, yes. It is not a shift, just a stretch.
ah right i see thanks for that ^-^
8. (Original post by thefatone)
ah right i see thanks for that ^-^
You're welcome.

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