Question

Translate the figure 2 units legt and 4 units down. What are the coordinates of the image?

Answer 1

`A_(new)=(-3,0)\\B_(new)=(0,-1)\\C_(new)=(1,-4)\\D_(new)=(-3,-5)`

Explanation:

Looking at the diagram, you can see and determine the following points, write them down:

A=(-1,4)

B=(2,3)

C=(3,0)

D=(-1,-1)

Translating 2 units left means x changes by (-2)

Translating 4 units down means y changes by (-4)

Old Point + Point Change = New Point

`A_(old)+T=A_(new)\\A_(old)=(-1,4)\\T=Translation=(-2,-4)\\A_(old)+T=(-1,4)+(-2,-4) = A_(new)=(-3,0)`

`B_(old)=(2,3)\\C_(old)=(3,0)\\D_(old)=(-1,-1)\\T=(-2,-4)\\B_(new)=(2,3)+(-2,-4)=(0,-1)\\C_(new)=(3,0)+(-2,-4)=(1,-4)\\D_(new)=(-1,-1)+(-2,-4)=(-3,-5)`