Afigure 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.

The translation is The figure moves left and down.

Option:B.

Step-by-step 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.

step-by-step explanation:

i found the koficent of the linear function and i foun c acordind to the strict formula y=kx+c and then i took 2 as an x and replacet it on the formula i found and then foun the y