Posted by Lucy on Sunday, March 30, 2008 at 7:38pm.
How can I tell whether a function will be reflected in the xaxis or yaxis and whether it will be horizontally and vertically compressed or not?
For example, this function:
y=2f(4(x2)) + 8

Math (functions)  bobpursley, Sunday, March 30, 2008 at 8:33pm
Wouldn't it depend what f(z) was? For instance, if f(z)=z^2, then
f(4(x2)) would be 16(x2)^2 which would reflect about x=2

Math (functions)  Lucy, Sunday, March 30, 2008 at 8:52pm
Oh, sorry I wasn't clear.
I didn't mention that it's supposed to be graphed from y = f(x). Also, we just write out how to obtain the graph, not the exact coordinates.
So I think from
y=2f(4(x2)) + 8
Vertically stretched by a factor of 2, and horizontally stretched by a factor of 1/4
Reflected in the xaxis
Translated 2 units right, 8 units up
Is this correct?
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