Draw and label the final image of △abc after the given sequence of transformations. reflect △abc over the y−axis and then translate by (2, −2). a b c d

The correct option is A.

Explanation:

From the given figure it is noticed that each box in the graph represents the length of 2 units. The coordinates of point A,B and C are (-1,1),(-3,3) and  (-2,4) respectively.

If a point reflects over the y-axis then,

So after reflecting coordinates of point C become,

If a point translated by (a,b), then

So, after reflection over y-axis followed by translation by (2,-2), the coordinate of C are,

Similarly the image of point A and B are (3,-1) and (5,1) respectively.

The image of C after reflection over y-axis followed by translation by (2,-2) is (4,2), which is shown in only graph A, Therefore A is the correct option.

21/58.

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