A figure is translated using the mapping (x, y) → (x + a, y + b). If the value of a is negative and the value of b is negative,
which best describes the translation? The figure moves left and up. The figure moves left and down. The figure moves right and up. The figure moves right and down.
2 answers:
The translation is The figure moves left and down.
Option:B.
<u>Step-by-step explanation:</u>
The given coordinate (x,y) is mapped and it gets translated using mapping (x+a,y+b).
Also, we are given with information that the value of a and also value of b is negative (-a,-b).
⇒the mapping coordinate = (x+(-a),y+(-b)).
The mapping coordinate = ( x-a, y-b).
The coordinate points will be decreasing in x and y axis. So it will move towards the left and downside of the graph.
For example,
Consider that a= -3 and b= -2.
∴The translating coordinate will be (x-3,y-2).
Choose a coordinate point ( 2,2) initially.
Substitute the x,y coordinate in the translating coordinate.
⇒ (x-3,y-2) = (2-3,2-2).
=(-1,0).
After translation the points will be (-1,0).
∴The figure will move towards left and downwards.
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