Figure O is the result of a transformation on figure N. which transformation would accomplish this. a. a rotation 90 clockwise about the orgin

b. a translation 5 units and 2 units down

c. a rotation 90 counterclockwise about the orgin

d. a translation 5 units left and 2 units up

The correct statement for transformation should be "a translation 5 units right and 2 units down". Option B is correct.

The given two figures are formed by the transformation.

The initial figure has the base at (-4,1) and (-3,1) which is shifted to (1,-1) and (2,-1), respectvely.

So, the transformation of x coordinate is,

And transfrmation of y coordinate is,

The figure is not rotated at any angle as they both are identical in orientation.

From the above discussion, it can be concluded that the figure is translated by 5 units towards the right (as it is positive), and by 2 units down (as it is negative).

Therefore, the correct statement for transformation should be "a translation 5 units right and 2 units down". Option B is correct.

For more details, refer to the link:

link

b. a translation 5 units [right] and 2 units down

Step-by-step explanation:

Start with Figure N. The figure is now transformed into Figure O. Notice that Figure O has the same size, shape, and orientation as Figure N. That means there is no scaling, no mirror reflection, and no rotation. There is only a translation.

The upper right vertex of Figure N is now the upper right vertex of Figure O.

The coordinates of the upper right vertex went from (0, 4) to (5, 2).

The x-coordinate went from 0 to 5.

5 - 0 = 5

A translation of 5 in x is a translation of 5 units to the right.

The y-coordinate went from 4 to 2.

2 - 4 = -2

A translation of -2 in y is a translation of 2 units down.

b. a translation 5 units [right] and 2 units down

(I think you left out the word "right" in choice b.)

really really sorry if i'm

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    + 5x   + 5x

-32 = 8x

8         8

- 4= x