Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
joshi
Group Title
why does f(2x) stretch horizontally by a scale factor of 1/2? why can't we just multiply the x values by 2?
 2 years ago
 2 years ago
joshi Group Title
why does f(2x) stretch horizontally by a scale factor of 1/2? why can't we just multiply the x values by 2?
 2 years ago
 2 years ago

This Question is Closed

AbhimanyuPudi Group TitleBest ResponseYou've already chosen the best response.0
f(2x) stretches by 1/2 factor of f(x) horizontally because in the latter graph, you get the same range for rather half of the domain values
 2 years ago

adonais Group TitleBest ResponseYou've already chosen the best response.0
A function relates two numbers. For example the function f(x) = x takes x as input and provides x as the output. However a function f(2x) = x takes twice the value of x and plots it against x. Plotting the two functions should give you a feel for this.
 2 years ago

AbhimanyuPudi Group TitleBest ResponseYou've already chosen the best response.0
you get the same graph if you multiply the domain values of x with 2 and plot it
 2 years ago

joshi Group TitleBest ResponseYou've already chosen the best response.0
ok so for a while all of that made a lot of sense. but now i'm actually graphing and it's confusing again. so i graphed f(x) = x^2. now i'm doing f(2x). here does it become f(2x) = (2x) ^2?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
y = 2x > x= y/2
 2 years ago

AbhimanyuPudi Group TitleBest ResponseYou've already chosen the best response.0
yes you are correct @joshi
 2 years ago

joshi Group TitleBest ResponseYou've already chosen the best response.0
ohhhh ok i get it now! it makes sense! thank you!
 2 years ago

joshi Group TitleBest ResponseYou've already chosen the best response.0
so whenever we'll have a f(2x) or f(3x) etc. question we'll just multiply all the x values of the coordinates by half? and so when we'll have f(1/2 x) we'll multiply the x values by 1/2/2 which is just 2? right?
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
http://www.wolframalpha.com/input/?i=y%3Dx^2%2C+y+%3D+4x^2%2C+y%3D+9x^2 These are graphs for x^2,4x^2 and 9x^2 which are what you would get for y=x^2 and then if for x you substituted 2x and 3x....
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.