SOLUTION: Consider the triangle defined by P=(1,3), Q=(2,5, and R=(6,5). The transformation defined by T(x,y)=(x+2,y-1) is mathematical notation for translating a point by the vector [2,-1]

Algebra.Com
Question 146953: Consider the triangle defined by P=(1,3), Q=(2,5, and R=(6,5). The transformation defined by T(x,y)=(x+2,y-1) is mathematical notation for translating a point by the vector [2,-1]. The point P(1,3) becomes T(1,3)=(1=2,3-1)=P'(3,2). Find Q' and R'. Graph both the original triangle and its image.
Answer by psbhowmick(878)   (Show Source): You can put this solution on YOUR website!
The point Q(2,5) becomes T(2,5)=(2+2, 5-1) = Q'(4,4).
The point R(6,5) becomes T(6,5)=(6+2, 5-1) =R'(8,4).

In the graph, the red triangle shows the initial position and green shows the final position.


RELATED QUESTIONS

Find the coordinates of the images P, Q, R,S and T for each point under the translation... (answered by Edwin McCravy)
is there any linear transformation from R^3 to R^2 defined by T(1,-1,1)=(1,0)... (answered by khwang)
Consider the function defined by f = {(x, y) : x ∈ R, y = 1/3(x + 2)^2 + 5}. Which... (answered by greenestamps)
Given the function defined by r(x)=4x^2-6x+5 find... (answered by jim_thompson5910)
Type the coordinates of the points for P,Q,R,S and T for each of the following images... (answered by solver91311)
Suppose that the functions p and q are defined as follows: p(x)=-2x+1 q(x)=-x^2 Find (answered by fcabanski)
Given function p and t defined by the table below
 x,  -2, -1,  0,  1,  2
p(x),  (answered by Edwin McCravy)
what is the length of the transverse axis of the hyperbola defined by the equation below? (answered by ewatrrr)
What is the length of the transverse axis of the hyperbola defined by the equation below? (answered by lwsshak3)