The vertex of a figure is located at (2,4). The figure is rotated and the image of the vertex is located at (4,2). Which of these describes the transformation?

Horizontal translation right '2' units  and Vertical translation down '2' units  

The transformation  of the given vertex (2 , 4)→( 2 +2, 4-2)    

The transformation (2 , 4)→( 4, 2)          

Step-by-step explanation:

Explanation:-

Type of transformation                                change to co-ordinate point

Vertical translation up 'd' units                         (x , y)→(x , y+d)      

Vertical translation down 'd' units                    (x , y)→(x , y-d)        

Horizontal translation left 'c' units                    ( (x , y)→(x-c , y)

Horizontal translation right 'c' units                    ( (x , y)→(x +c , y)  

Reflection over x-axis                                         ( (x , y)→(x , -y)

Reflection over y-axis                                         ( (x , y)→(-x , y)

Now given data The vertex of a figure is located at (2,4)

by above table we observe that

Horizontal translation right '2' units  and Vertical translation down '2' units  

so the transformation (2 , 4)→( 2 +2, 4-2)    

     The transformation (2 , 4)→( 4, 2)          

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.