What image is the translation of the shown triangle given by the translation rule (x, y) (x-3, y +3)

The figure is translated 3 units left and 3 units up. This can be seen in option C

Transformation is the movement of a point from its initial location to a new location.

Types  of transformation is reflection, rotation, translation and dilation.

Translation is the movement of a point up, down, left or right. If a point A(x, y) is moved a units left and b units up, the new point is at A'(x - a, y + b).

The translation rule (x,y) (x-3, y +3) means that the figure is translated 3 units left and 3 units up.

This can be seen in option C. Hence option C is the correct option.

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Answer : Image shown in graph C is the right image formed by translation rule (x,y) → (x-3, y +3).

Given:  A triangle which is translated by applying translation rule

(x,y) → (x-3, y +3).

As by rule x abscissa is decreased by 3 therefore the image will shift leftwards[horizontal shift by 3 units] and y ordinate is increased by 3 which implies the image will shift upwards[vertical shift by 3 units]→ which is shown in the graph C .

Therefore,Image shown in graph C is the right image formed by translation rule (x,y) → (x-3, y +3).

c. (3,2,6) is the answer.