Point B has coordinates (-2, -5). After a translation 4 units down, a reflection across the y-axis, and a translation 6 units up, what are the coordinates of the image

Respuesta :

Steps:

Translate four down. Do y-4, which in this case is -5. So, it’d be -5-4 which is equal to -9. You should now have (-2, -9).

Translate across the y-axis. Make your x value opposite. The opposite of -2 is 2,
-(-2)=2.

Translate 6 units up. Same as before but instead of subtracting we’re adding since we are going up. Do y+6, which in your case would be -9+6. -9+6=-3.

Final Answer: (2,-3).

Hope this helps!


A transformation in mathematics is a function that maps the elements of a set to its self. In geometry a transformation is the conversion of a figure into another similar figure

The coordinate of the image is (6, 1)

The reason the above coordinates  value is correct are as follows:

The given parameters are

The coordinates of point B = (-2, -5)

The composite transformations are;

1) A translation 4 units down

2) A reflection across the y-axis

3) A translation 6 units up

Required:

To find the coordinates of the image

Solution:

1) A translation of the preimage

The coordinates of the image of the point (-2, -5) following a translation 4 units down is (-2 - 4, -5) = (-6, -5)

2) A reflection of the previous image across the y-axis: (x, y) → (-x, y)

The coordinates of the image of the point (-6, -5) following a reflection across the y-axis is (6, -5)

3) A translation of the point (6, -5) 6 units up

The coordinates of the image of the  point (6, -5), following a translation of 6 units up is (6, -5 + 6) = (6, 1)

The coordinate of the image is (6, 1)

Learn more about rigid transformations here:

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