Transformation that takes all point on parabola onto unit circle

AI Thread Summary
The discussion revolves around a transformation matrix that is intended to map points from a parabola defined by the equation y² = x to a unit circle represented by x² + y² = 1. Participants are seeking guidance on how to approach the problem, particularly in applying the transformation matrix to the parabola's points. The key challenge is understanding how to manipulate the matrix to achieve the desired mapping. Hints or suggestions for starting the solution process are requested, emphasizing the need for clarity in the transformation's application. The conversation highlights the importance of matrix operations in geometric transformations.
umair123
Messages
1
Reaction score
0

Homework Statement


Show that the transformation

Code: 
 _        __  _  __ 
| 0 -2 1   ||  x  |
| -2 2 0   ||  y  |
|_2 -2  1 _||_ 1_|
takes all points on parabola y2=x onto the unit circle x2+y2=1

Homework Equations





The Attempt at a Solution


I can't find out what to do I just need a hint about how to get started about doing this.
 
Physics news on Phys.org
{M} [x] = [x']
 

Similar threads

Intersection of a circle and a parabola
Replies
5
Views
4K
Calculate this Integral around the Circular Path using Green's Theorem
Replies
3
Views
2K
Comp Sci C++ Reading Data File: Calculating Distances and Finding Closest Point
Replies
14
Views
3K
MHB Parabola Tangent: GP Relation for Fixed Point Chords
Replies
4
Views
1K
Engineering Magnitude versus Frequency Response Drawing from Pole-Zero Plot
Replies
8
Views
3K
Comp Sci Using methods in java programming
Replies
1
Views
2K
Find the equation of a tangent line to y = x^2?
Replies
11
Views
4K
Find Values of Osculating Circle Tangent to a Parabola
Replies
4
Views
1K
Coloring each k-th unit in a circle of n units
Replies
2
Views
1K
Matlab Plotting Points and a Cubic Polynomial that passes through them
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top