What does it mean translate the figure 5 units up

Question

asked Jan 10, 2023 18.5k views

1 Answer

Harijay · Answer 1 · 2023-01-15T00:30:54+0000

By definition. a Translation is a transformation in which a figure is moved a fixed distance in a fixed direction.

The Image is the figure obtained after the transformation and the Pre-Image is the original figure.

In this case, you know that the figure shown in the picture must be translated 5 units up. Therefore, the rule for this transformation is:

$(x,y)\rightarrow(x,y+5)$

You can identify that the marked point on the Pre-Image has the following coordinates:

$\mleft(-4,-3\mright)$

Therefore, applying the rule for this transformation, you get that the coordinates of the marked point in the final figure, are:

$\mleft(-4,-3\mright)\rightarrow\mleft(-4,-3+5\mright)\rightarrow(-4,2)$

The answer is:

Coordinates of the marked point in the original figure:

Coordinates of the marked point in the final figure:

$\mleft(-4,2\mright)$