# Reflection

• May 4th 2009, 09:36 PM
magentarita
Reflection
On a review sheet, there is a problem that says: A reflection in the x axis of y = f (x) is represented by h (x) = ____________ while a reflection in the y axis of y = f (x) is represented by h (x) = ______________.

I got confused with h (x). What does h (x) have to do with f (x)?
• May 4th 2009, 10:19 PM
scouser
ummmmmm
i know this sounds redundant, but h(x) is just the reflection of f(x) in the axes. its just another way of putting it, they could also have noted g(x) or f(x)'. you need to determinez the reflection of f(x). dont get carried away with the way they note it.
• May 5th 2009, 07:24 AM
magentarita
Do you mean?
Quote:

Originally Posted by scouser
ummmmmm
i know this sounds redundant, but h(x) is just the reflection of f(x) in the axes. its just another way of putting it, they could also have noted g(x) or f(x)'. you need to determinez the reflection of f(x). dont get carried away with the way they note it.

Do you mean the following:

If y = f(x), the reflection about the x-axis is represented as
y = -h(x) or h(x) = -f(x).

If y = f(x), the reflection about the y-axis is represented as
y = h(-x) or h(x) = f(-x).

Is any of this correct?