







Translation by a vector 
20200130 

From Jude: M(3,2) is the image of the point M under a translation by the vector (5,2). Find the coordinates of M Answered by Penny Nom. 





Translation of a graph 
20120602 

From Sean: the information is thus:
$f(x)=3(x+1)^22$
I wish to translate up 2 units and move 2 units right. Answered by Penny Nom. 





y = 1/4(x+3)^24 
20070317 

From Irene: How the graph of a parabola f(x)=1/4(x+3)squared4 can be obtained from the graph of y=xsquared, using Translations and Scalings. Answered by Penny Nom. 





The product of of two rotations 
20061217 

From Katie: Is the product of of two rotations over a different center point always a translation? Answered by Walter Whiteley. 





An expansion and a translation 
20060925 

From meghan:
Write the equations for f(x) = squareroot(4  (x  2)^2) after:
a) a horizontal expansion by a factor of 2
Answer: f(x) = squareroot(4  (1/2x  2)^2)
b) a horizontal translation 3 units left
Answer: f(x) = squareroot(4  (x + 1)^2)
c) the expansion in part a), then the translation in part b)
d) the translation in part b), then the expansion in part a)
I understand how to do a) and b), but I'm not sure what I'm supposed to do for the equations in a specific order (expansion, then translation vs. translation, then expansion).
Answered by Penny Nom. 





Translate and magnify a triangle 
20060219 

From A student: Triangle CAT has vertices located at C(2,5), A(5,1), T(1,1)
Translate triangle CAT 4 units right and magnify the triangle by 3. List the new coordinates and explain the process of computing the new coordinates.
Graph triangle CAT and the new triangle form part A on the same coordinate plane....
Will the area of the new triangle be 3 times as large as the original?? Explain why or why not Answered by Penny Nom. 





English 
20040527 

From Chang: well my question is i was told by most of the teachers that ''think in english'' is the best way to learn english but how can i do like that do i need to know about the stucture first or do i need to learn the western culture ?
here is a sentence i have translate directly from my mother language.'' i was given an admiration of sincerity from this client on the follow up action i have done in the complaint. Answered by Claude Tardif. 





Moving a triangle 
20020418 

From A student: find the verticles of a triangle after it is translated 2 units to the left and then is reflected across the graph of y=x+2. The original verticles of the triangle are (2,0), (3,2), and (6,2). Answered by Peny Nom. 





Translated by the vector (5,2) 
20011119 

From Jennifer: Give the image of (p,q) when translated by the vector (5,2). Answered by Penny Nom. 





Shapepreserving transformations 
19990504 

From J McAndrew: A shape preserves its shape if a rotation, translation or scaling is performed on it. Are these the only continuous transformations which have this property? These transformations if performed on the parts and then summed have the same effect as the transformation being applied to the whole; are these linear transformations? Who, and what area of mathematics has classified all transformations of this type completely? Answered by Chris Fisher. 





Frieze Patterns 
19980819 

From Brian Bairstow: I am doing a research project on frieze patterns (also called band patterns or border patterns). I know that there are exactly seven different types of frieze patterns, but I have been unable to find a proof for this. If you could tell me this proof, or tell me some internet sites on which I can find material on this, I would be very grateful. Answered by Chris Fisher. 





Traduction 
19990927 

From Beatrice: Pouvezvous me traduire en anglais les terms cidessous?  Intrégration ensembliste
 Espaces vectoriels normés
 Traitement statistique du signal
 Equations aux dérivées partielles
 ...
Answered by Claude Tardif. 

