How Accurate Are Your Function Transformations?

Click For Summary

Homework Help Overview

The discussion revolves around function transformations, specifically focusing on the accuracy of transformations applied to a given function as outlined in a homework assignment. Participants are examining the correctness of their interpretations and calculations related to transformations such as translations and scalings.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to verify their solutions for specific parts of the problem, particularly parts (a) through (d). There are questions about the correctness of points derived from transformations, with some participants expressing uncertainty about their methods for parts (c) and (d). Others are seeking clarification on how specific coordinates were obtained, particularly for part (a).

Discussion Status

The discussion is ongoing, with participants providing feedback on each other's attempts. Some guidance has been offered regarding the application of transformations, particularly in relation to the operations performed on the x-values. There is a recognition of potential errors in the approaches taken, but no consensus has been reached on the correct solutions.

Contextual Notes

Participants are working with specific function transformations and are referencing their homework assignment, which includes visual aids. There is an emphasis on ensuring that the transformations are applied correctly according to the definitions provided in the assignment.

ninjamonke
Messages
11
Reaction score
0
I did the problem but I just need to make sure I did it correctly.. If I did it incorrectly, please let me know.

Homework Statement



Page 1: http://i55.tinypic.com/25sosgp.jpg (Zoom in)

Page 2: http://i52.tinypic.com/ofyds5.jpg (Zoom in)

Homework Equations



Problem 4 a-d

The Attempt at a Solution



You can see it on the picture.
 
Physics news on Phys.org
ninjamonke said:
I did the problem but I just need to make sure I did it correctly.. If I did it incorrectly, please let me know.

Homework Statement



Page 1: http://i55.tinypic.com/25sosgp.jpg (Zoom in)

Page 2: http://i52.tinypic.com/ofyds5.jpg (Zoom in)

Homework Equations



Problem 4 a-d

The Attempt at a Solution



You can see it on the picture.

I don't think your parts (c) and (d) are appropriate.

For f(x+1) you gave the point (-3, 1) because indeed f(-3+1) = f(-2), which was given.

but for f(3x) you gave (-6, 1) however f(3*-6) = f(-18) which you don't know?
Similarly part (d) doesn't work out either.
 
PeterO said:
I don't think your parts (c) and (d) are appropriate.

For f(x+1) you gave the point (-3, 1) because indeed f(-3+1) = f(-2), which was given.

but for f(3x) you gave (-6, 1) however f(3*-6) = f(-18) which you don't know?
Similarly part (d) doesn't work out either.

Then part (b) should be wrong also. I did the same approach for part (c) and (d).

Can you explain how I got the the Point A coordinates (0, 3/2) on part (a) on the last column? It was already done in the book for Point A of part (a) only.

I also made the graph of these coordinates and it's moving/shifting the right way like it's supposed to, I think.
 
ninjamonke said:
Then part (b) should be wrong also. I did the same approach for part (c) and (d).

You might think you did the same thing, but you didn't

When you did f(x+1), you didn't add one to the x value, you subtracted one - because after you put it through (x+1) the 1 is added back on - ie if x = -3, then f(-3+1) = f(-2) which you know.

However, when you did f(3x) you still multiplied by 3 ? your said x = -6. But if x = -6, f(3x) means f(-18) which you don't know. You should have divided by 3.

Part d you also didn't do the inverse to x either.



ninjamonke said:
Can you explain how I got the the Point A coordinates (0, 3/2) on part (a) on the last column? It was already done in the book for Point A of part (a) only.

you were using y = 1/2 * f(x+1) so it is not surprising that a 3 became a 3/2
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
13
Views
2K
Replies
24
Views
4K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 1 ·
Replies
1
Views
9K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K