Question 6

The coordinates of B'' are (-1, -4).

B'' is located at the coordinates (-1, -4) after the transformation.

A) (-4, 1)

This option is incorrect because the x-coordinate is -4 and the y-coordinate is 1, which does not match the expected result of B'' after the transformation.

B) (-4, -1)

This option is incorrect as well. The x-coordinate of -4 does not align with the transformation that results in the new coordinates for B'', which should have a different x and y value.

C) (1, -4)

This option is also incorrect. While it has a negative y-value, the x-coordinate is 1, which does not correspond to the transformation that leads to B''.

D) (-1, -4)

This option is the correct answer. The coordinates of B'' after the transformation result in an x-value of -1 and a y-value of -4, aligning perfectly with the expected outcome.

Conclusion

The coordinates of B'' definitively are (-1, -4), as derived from the transformation process. All other options fail to represent the accurate new coordinates due to incorrect x or y values. Thus, D is the only valid answer reflecting the transformation's result.