Explain how horizontal and vertical translations each affect the coordinates of the points of a figure?

Translations of geometric figures in the coordinate plane can be determined by translating the x- and y-coordinates of points. Horizontal and vertical translations are the easiest. ... Solution: A horizontal translation just changes the x-coordinates of all points, so the rule is (x, y) à (x + 3, y).

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xero099 xero099 · Answer 2 · 2021-09-04T23:26:13+02:00

Figure can be either translated or deformated.

Geometrically speaking, translations can be defined by following vector formula:

[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.
[tex]T(x,y)[/tex] - Translation vector.
[tex]P'(x,y)[/tex] - Resulting point.

A vertical translation occurs when [tex]y_{T} \ne 0[/tex] and horizontal translation when [tex]x_{T} \ne 0[/tex]. If each point of a figure has a different translation formula, then resulting figure will be a deformed version of the original one, but if each point of a figure has the same translation formula, shape of the figure is conserved and the entire figure is translated.

Therefore, the figure can be either translated or deformated.

We kindly invite to see this question on translations: https://brainly.com/question/12891436