Question

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.

Answer 1

b} The figure moves left and down

Explanation:

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Answer 2

The translation is The figure moves left and down.

Option:B.

Explanation:

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.