Question

What are the coordinates of the image of triangle ABC after it is translated (x, y ) → (x + 2, y - 4)? ( a0, a1) ( a2, a3) ( a4, a5)

Answer 1

Answer with explanation:

It is given that, point (x,y) is translated to ,→(x+2,y-4).

Now, we have to find coordinates of vertices of Triangle ABC, after it is translated , 2 unit in horizontally right, and 4 unit vertically down.

`A(a_(0),a_(1))\rightarrow A'(a_(0)+2,a_(1)-4)\\\\B(a_(2),a_(3))\rightarrow B'(a_(2)+2,a_(3)-4)\\\\C(a_(4),a_(5))\rightarrow C'(a_(4)+2,a_(5)-4)`

Answer 2

(x, y) → (x + 2, y - 4 ) means add 2 to the x- coordinate of the original point and subtract 4 from the y- coordinate of the original to obtain the image

(
`a_(0)` + 2,
`a_(1)` - 4 )

(
`a_(2)` + 2,
`a_(3)` - 4 )

(
`a_(4)` + 2,
`a_(5)` - 4 )