Posted by **John** on Sunday, September 21, 2008 at 6:35pm.

sketch the image of f(x) after:

a) a horizontal compression by a factor of 1/2

b) a veritcal expansion by a factor of 3

c) both transformations in parts a and c have been applied

d) write the equations of the three image for a b and c

i think i graphed a b and c right

but i cant seem to get the equations

i thought it was:

a) y = f(2x)

b) y = f(x-3)

c) y = f(2(x-3))

but the back of the book says

a)f(x) = (root(4-(2x-2)squared)

b) f(x) = (3(root(4-(x-2)squared)))

c) f(x) = (3(root(4-(2x-2)squared)))

- math -
**David Q**, Monday, September 22, 2008 at 4:09pm
I agree with you about (a). Part (b) is just y=3*f(x), and (c) is y=3*f(2x)). What you're describing in (b) is a translation of the function of 3 units to the right, not a vertical expansion of it by a factor of 3.

Having said all that, I can't see where the answers at the back of the book come from at all, unless either the function f(x) is some specific function that's given earlier in the question as opposed to a general f(x) that I think we're both assuming it is, or unless "the image of f(x)" means something other than just what f(x) is mapped onto. Does anyone else have any views on this?

## Answer This Question

## Related Questions

- Math Finals - URGENT - Transformations - when you have "y = 1/2sin2x". . . Does ...
- Math - For f(x) = 1/2sin2(x-90°) What are the transformations? The 1/2 means a ...
- algebra 2 - What are two different transformations that will transform f(x)=5x+3...
- Pre-Calculus - Need help with this question, don't get it. Given the relation x^...
- Pre-Calculus Graphs expansions/compressions - Need help with this question, don'...
- Geometry - I appreciate any help you can give me. Here is my question: Find the ...
- Math - Can someone please help me with this question. Thank you! State the image...
- Math - Hi, I asked this question yesterday and I am still struggling with it, ...
- math - The point (9,-12) is on the graph of a function. Whwat is it after ...
- Math Repost!!Please Help!!!! - 6-y --------- y^2-27-24 well it should simplify ...

More Related Questions