Question

Draw the image of ABC under the translation (x, y) + (x,y+3).

Answer 1

The draw of the image A'B'C' in the attached figure

Explanation:

we know that

The rule of the translation is

(x,y) -----> (x,y+3)

That means ----> The translation is 3 units up

we have the coordinates of triangle ABC

Looking at the graph

`A(-4,-3),B(0,0),C(-6,2)`

Applying the rule of translation at triangle ABC

A(-4,-3) -----> A'(-4,-3+3)

A(-4,-3) -----> A'(-4,0)

B(0,0) -----> B'(0,0+3)

B(0,0) -----> B'(0,3)

C(-6,2) -----> C'(-6,2+3)

C(-6,2) -----> C'(-6,5)

using a graphing tool

The draw of the image A'B'C' in the attached figure