Math

QuestionTranslate the point (1,-6) by 2 units right and 6 units down. Show your work.

Studdy Solution

STEP 1

Assumptions1. The initial point is (1, -6) . The point is to be translated units to the right and6 units down

STEP 2

To translate a point, we add or subtract from its coordinates. To move a point to the right, we add to the x-coordinate. To move a point down, we subtract from the y-coordinate.
Translatedpoint=(Initialx+Translationx,Initialy+Translationy)Translated\, point = (Initial\, x + Translation\, x, Initial\, y + Translation\, y)

STEP 3

Now, plug in the given values for the initial point and the translation. The translation is2 units to the right and6 units down, so we add2 to the x-coordinate and subtract6 from the y-coordinate.
Translatedpoint=(1+2,66)Translated\, point = (1 +2, -6 -6)

STEP 4

Calculate the translated point.
Translatedpoint=(1+2,66)=(3,12)Translated\, point = (1 +2, -6 -6) = (3, -12) The point (1, -6) translated2 units to the right and6 units down is (3, -12).

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