Question

12. Point R(8, 13) is translated 8 units left and 6
units down to create R'.
1€
сг
a. Write a rule for the transformation.
a
c
b. Give the location of R'.
atan

Answer 1

When a point is moved away from its original position, the point is said to be translated.

• The transformation rule is $(x - 8, y - 6)$
• The new location of R is $(0,7)$

We have:

$R = (8,13)$

(a) The transformation rule

From the question, we understand that the point is shifted left by 8 units.

This transformation is represented as:

$(x,y) \to (x-8,y)$

Next, it is shifted down by 6 units.

The transformation is represented as:

$(x - 8,y) \to (x-8,y - 6)$

So, the transformation from (x,y) is:

$(x ,y) \to (x-8,y - 6)$

(b) The location of R'

We have:

$R = (8,13)$

$(x ,y) \to (x-8,y - 6)$

Apply the transformation

$R' = (8 - 8, 13 - 6)$

$R' = (0, 7)$

Hence, the new location of R is $(0,7)$

See attachment for the illustration

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