Question

Can someone explain to me the terminology between horizontal compression/expansion for this function: y=-f(.5x)-3

Answer 1

I believe this is a horizontal expansion by a factor of 2, translated 3 units down and a reflection in the x-axis.

Answer 2

check you last question.

Answer 3

(.5x) <---- vertical compression
if coefficient is greater than one, then it's expansion, if coefficient is less than one, then it's compression.

Answer 4

I thought this function would be a horizontal expansion by a factor of 2..

Answer 5

and vertical is outside the bracket.. o.O I am confused D:

Answer 6

sorry ,,, my mistake .... didn't think carefully.

Answer 7

am I correct? D:

Answer 8

let's try on this function
f(x) = x^2
http://www.wolframalpha.com/input/?i=graph+f%28x%29+%3D+%282+x%29%5E2%2C+g%28x%29+%3D+2x%5E2%2C+h%28x%29+%3D+x%5E2

Answer 9

okay

Answer 10

this provides a clearer picture
http://www.wolframalpha.com/input/?i=graph+f%28x%29+%3D+%282+x%29%5E2%2C+g%28x%29+%3D+2x%5E2%2C+h%28x%29+%3D+x%5E2%2C+i%28x%29+%3D+%281%2F2+x%29%5E2%2C+j%28x%29+%3D+1%2F2+x%5E2

Answer 11

from here
it seems, f(x) = 2 f(x) <--- is vertical expansion
f(x) = f(2x) <---- is horizontal compression

it seems, f(x) = 1/2 f(x) <--- is vertical compression
f(x) = f(1/2 x) <---- is horizontal expansion

Answer 12

yes, ohh, thank you! :)

Answer 13

yw