# How to describe the stretches on the x-axis

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#1
I was tackling the solomon worksheets and I noticed a potential mistake I had when describing the stretches on the x-axis
The link to the solomon worksheet for Graph of functions is here
http://pmt.physicsandmathstutor.com/...0Questions.pdf

The problem I have is Worksheet B question 10
But asked to describe the transformation of worksheet B Question 10
I wrote; a stretched by a factor of 3 in the x-direction but the worksheet gave a different answer link: http://pmt.physicsandmathstutor.com/...%20Answers.pdf

for worksheet B Question 10
I thought that to transform to you can perform a stretch by a factor 3 in the x-direction
which stretches the graph by a scale factor of 1/a
therefore 1\a becomes
as a result the graph y =f(x) is stretch to

Am i right and the answer given wrong?
Also I think a similar mistake is done for Worksheet B question 6C

Thank you
0
3 years ago
#2
(Original post by bigmansouf)
I was tackling the solomon worksheets and I noticed a potential mistake I had when describing the stretches on the x-axis
The link to the solomon worksheet for Graph of functions is here
http://pmt.physicsandmathstutor.com/...0Questions.pdf

The problem I have is Worksheet B question 10
But asked to describe the transformation of worksheet B Question 10
I wrote; a stretched by a factor of 3 in the x-direction but the worksheet gave a different answer link: http://pmt.physicsandmathstutor.com/...%20Answers.pdf

for worksheet B Question 10
I thought that to transform to you can perform a stretch by a factor 3 in the x-direction
which stretches the graph by a scale factor of 1/a
therefore 1\a becomes
as a result the graph y =f(x) is stretch to

Am i right and the answer given wrong?
Also I think a similar mistake is done for Worksheet B question 6C

Thank you
I haven't read the actual question but...

If then which means it is a stretch parallel to the x axis of
1
3 years ago
#3
Not quite right. The x is on the bottom. Imagine it as 1/ (x) then to get the desired function it must have been either f(3x) or (1/3)f(x)

Both give a stretch of scale factor 1/3.
1
3 years ago
#4
(Original post by bigmansouf)
...
If then which is a stretch in the x-axis by a scale factor of 1/3.

If it were a stretch sf 3 then you would have which isn't the same.

Alternatively, consider which is a stretch parallel y-axis by sf 1/3.
1
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