Question

A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down. Which rule describes the translation?

Answer 1

The answer is C
(x+ 4 , y - 3)

Moving right and left = x- value
Moving up and down = y-value

Answer 2

(x ,y) →→ ( x + 4 , y - 3 ) .

Explanation:

Given : A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down.

To find : Which rule describes the translation.

Solution : We have given

A triangle is translated 4 units right and 3 units down.

By the rule of transformation : A vertical translation of b units transforms the coordinates (x, y) into:

x' = x

y' = y + b

A horizontal translation of a units transforms the coordinates (x, y) into:

x' = x + a

y' = y

Then translated 4 units right and 3 units down

(x ,y) →→ ( x + 4 , y - 3 ) .

Therefore, (x ,y) →→ ( x + 4 , y - 3 ) .