Mathematics
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OpenStudy (howard-wolowitz):
HElp plz!
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OpenStudy (howard-wolowitz):
hold on i messed up with the question
OpenStudy (howard-wolowitz):
\[f(x) = \sqrt[3]{x}\]
OpenStudy (howard-wolowitz):
\[g(x) = \sqrt[3]{4/5x}\]
OpenStudy (michele_laino):
Sorry what is your question, since I see only a function
OpenStudy (howard-wolowitz):
Identfiy a horizontal or vertical stretch or compression of the first function by observing the second equation
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OpenStudy (howard-wolowitz):
A. A vertical strecth by a factor of 5/4
OpenStudy (howard-wolowitz):
B. A vertical compression by a factor of 5/4
OpenStudy (howard-wolowitz):
C. A horizontal stretch by a factor of 5/4
OpenStudy (howard-wolowitz):
D. A horizontal compression by a factor of 5/4
OpenStudy (howard-wolowitz):
Did I make this question clear?
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OpenStudy (michele_laino):
yes!
OpenStudy (howard-wolowitz):
ok good
OpenStudy (michele_laino):
I think that your function can be written as below:
\[\begin{gathered}
z = \frac{4}{5}x \hfill \\
y = f(z) = \sqrt[3]{z} \hfill \\
\end{gathered} \]
OpenStudy (howard-wolowitz):
Ok by writing the equation like this it would make it vertical right
OpenStudy (michele_laino):
no, it is a trasformation of the x-axis
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OpenStudy (michele_laino):
for example when x= 5, what is z?
OpenStudy (howard-wolowitz):
so does that mean strecth
OpenStudy (howard-wolowitz):
5
OpenStudy (michele_laino):
no, if x=5 then z= (4/5) * 5 = 4, namely the point x=5 is mappend in the point z=4, then the x-axis has been compressed
OpenStudy (howard-wolowitz):
Ok by thatinfo I'm going with D!
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OpenStudy (michele_laino):
that's right!
OpenStudy (howard-wolowitz):
see this is good because you explain it very goodly and that makes it where I can pick a answer!!!!1 :)))
OpenStudy (michele_laino):
thank you! :)