Posted by **Lucy** on Sunday, March 30, 2008 at 7:38pm.

How can I tell whether a function will be reflected in the x-axis or y-axis and whether it will be horizontally and vertically compressed or not?

For example, this function:

y=-2f(4(x-2)) + 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(x-2)) would be 16(x-2)^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(x-2)) + 8

-Vertically stretched by a factor of 2, and horizontally stretched by a factor of 1/4

-Reflected in the x-axis

-Translated 2 units right, 8 units up

Is this correct?

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