To make a vertical translation of a point in the coordinate system you have to add/subtract a "k" number of units to the y-coordinate of the point, leaving the x-coordinate unchanged.
• If you subtract "k" units from the y-coordinate, ,y-k,, the resulting vertical ,movement will be downwards.
,
• If you add "k" units from the y-coordinate, ,y+k,, the resulting vertical ,movement will ve upwards.
In this case, the triangle will be moved two units upwards, which means that you have to add 2 units to the y-coordinates of each vertex, following the rule:
[tex](x,y)\to(x,y+2)[/tex]
First, you have to determine the coordinates of each vertex of the triangle in the coordinate grid:
A(-5,-5)
B(1,1)
C(4,-5)
Next, add 2 units to each y-coordinate to determine the new vertices of ABC
A(-5,-5) → A'(-5,-5+2)=(-5,-3)
B(1,1) → B'(1,1+2)=(1,3)
C(4,-5) → C'(4,-5+2)=(4,-3)
So the new vertices of the triangle after a movement 2 units up are
A'(-5,-3), B'(1,3) and C'(4,-3)
The correct option is B.
