Transformation has many meanings in mathematics. If using this tag, add another tag related to the object being transformed. If there is a tag for your specific kind of transformations, use that one instead: e.g., (laplace-transform), (fourier-analysis), (z-transform), (integral-transforms), (rigid-transformations).
Questions tagged [transformation]
2949 questions
4
votes
1 answer
Linear transformation of a line
Question:
Find the image of the line $y=5x+9$ by rotation with center $O(0,0)$ with rotation angle of $270^{\circ}$ followed by dilatation at the center $O(0,0)$ with a scale factor of $3$.
My Attempt:
Given the line $y=5x+9$, it passes through…
Joe
- 795
3
votes
0 answers
Undoing radial distortion
I am trying to undo the radial distortion from three known straight lines (in the image projected to arcs due to the radial distortion) as described eg. in http://cv.cs.nthu.edu.tw/upload/activities/19/28.pdf. However, the approach does not work…
aquila
- 105
3
votes
2 answers
How to rotate a point on a Cartesian plane around something other than the origin (0,0)
What I understand:
Rotating a point around the origin using rotation rules.
All Rotation Rules
What I don't understand:
I tried searching how to rotate other than the origin but I don't get how they make the point equivalent to the custom rotation…
2
votes
2 answers
Transformations of the circle equation
I know to translate the circle equation we just need to change the values in the brackets of the general circle equation $(x-x_1)^2+(y-y_1)^2=r^2$ , and in order to dilate a circle we need to double the value of the radius i.e times by $2^2$,…
j jose
- 59
2
votes
2 answers
What formula can transform the table on the left to the table on the right?
I have Table A, which I have to transform into Table B:
Table A
Table…
2
votes
1 answer
Effect of transformations on $2x^2 + x + 1$
So I have the following question: A function $y = f(x) = 2x^2 + x + 1$ undergoes following transformation. A horizontal translation $2$ units to the right, followed by horizontal dilation by factor $\frac{1}{3}$ and then vertical dilation by $4$…
user954997
1
vote
1 answer
Finding the Fourier transform of $f(t)=\exp(-|t|)$
From,
$$ F(x) = \frac{1}{\sqrt{2\pi}} \int_{-\infty}^{\infty} f(t) \cdot e^{-ixt} \, \Bbb dt $$
I obtained,
$$ \frac{1}{\sqrt{2\pi}} \int_{-\infty}^{\infty} e^{|-t|} \cdot e^{-i \cdot x \cdot t} \, \Bbb dt $$
Consequently I found $F(t)$ as,
$$…
LexusLS
- 29
1
vote
2 answers
How does synthetic division work for increasing or decreasing the roots of a polynomial equation by a constant factor.
I was browsing previous questions and found the logic behind synthetic division process was explained in
Why does synthetic division work? and also browsed the process behind in Purple math website, Wolfram Alpha. I can understand to a certain…
Manikandan
- 147
- 8
1
vote
1 answer
Transformations of functions at GCSE - enlargement vs stretch vs translation (ordering)
What happens when you have a function f(x) and apply a transformation af(x/a)?
Is this just equivalent to an enlargement of f(x) with scale factor a with centre of enlargement (0,0)? (Because we have stretch in each of x and y directions by the…
pythag1
- 25
0
votes
0 answers
Rectifying the isophote to second order by homothetic transofrmation
I'm writing a Python script following a research paper's algorithm (https://articles.adsabs.harvard.edu/pdf/1990A%26A...233...82C). I've got my isophote points and the points of the closest-fitted ellipse. The paper says: "First, the isophote is…
Malvinka
- 101
0
votes
0 answers
Shouldn't an object orbit and not spin when it first translated and then rotated?
I understand that the transform order matters, but I don't understand why the object in this tutorial on minute 7:00 spins and not orbits.
Line 156 applies rotation and then translation on Model matrix MathHelper::matrixMul4x4(M, transMatrix,…
theateist
- 113
0
votes
2 answers
Function to transform polynomial to linear
It's been a long while since my school days and linear algebra. I'd like to find the function, if one exists, that transforms $$y = 2x^2 - 1$$ to $$y = x.$$ Any help is appreciated.
user20730
- 21
- 5
0
votes
1 answer
A formula of translation of a function to find translating points
Is there a formula to find a translating point of a function?
Suppose I have $y = x^2 + 2$ and after getting translated, it becomes $y' = x^2 - 9x + 5$. Let's say we don't know the translating point yet, how do you find $T(x,y)$ such that…
user516076
- 2,200
0
votes
0 answers
Transformation(s) with same limits and one-to-one mapping but different histogram shape
I generated random numbers in Excel $(0 < y < 2)$ such that their distribution in a histogram has the shape of a right triangle and is skewed right, not left. I want a transformation or series of transformations to keep the same limits ($0$ and…
user20730
- 21
- 5
0
votes
1 answer
Transformed gamma distribution
f(x) is the pdf of two parameter gamma distribution. Gamma(alpha, beta).
$$f(x)=\frac{x^{\beta-1}*exp(-x/\alpha)}{(\alpha^\beta) *\Gamma(\beta)}$$
x>0
I need to transform x…
