Question

Find the coordinates of the image after a translation of the figure below using (x, y) (x + 3, y + 2).

A'(
a1,
a2)

B'(
a3,
a4)

C'(
a5,
a6)

D'(
a7,
a8)

Answer 1

The coordinates are

A(-4,-3) →A'(-1, -1)

B(-1, 1) → B'(2, 3)

C(3, 5) → C'(6, 7)

D(2,-5) → D'(5,-3)

Explanation:

Given the graph of figure whose coordinates are

A(-4, -3), B(-1, 1), C(3, 5), D(2, -5)

We have to find the coordinates of the image after a translation using T(x, y) → (x + 3, y + 2).

Coordinates after translation are

A(-4,-3) → A'(-4+3, -3+2)=A'(-1, -1)

B(-1, 1) → B'(-1+3, 1+2)=B'(2, 3)

C(3, 5) → C'(3+3, 5+2)=C'(6, 7)

D(2,-5) → D'(2+3, -5+2)=D'(5,-3)

which are required coordinates of the image after a translation of the figure below using (x, y) → (x + 3, y + 2).

hope this helps :)

Answer 2

You have not provided the coordinates of the original points, therefore, I cannot give exact answers.
However, I can help you with the concept.

We are given that the translation rule here is:
(x,y) ................> (x+3 , y+2)

This means that:
x coordinate of the translated point can be obtained by adding 3 to the x coordinate of the original point
y coordinate of the translated point can be obtained by adding 2 to the y coordinate of the original point

Examples:
point (2,3) after translation would become (2+3 , 3+2) which is (5,5)
point (-1,0) after translation would become (-1+3 , 0+2) which is (2,2)

Hope this helps :)