Question

Someone please answer 28 points please answer with the right facts and the explanation thank you

Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”

Answer 1

The transformation

`(x,y) \rightarrow (x-5,-y+1)`

maps triangle XYZ onto triangle X”Y”Z”.

Explanation:

Let us take point Z on the XYZ triangle and see what sequence of transformations we have to apply to map it into the point Z''.

Now Z = (-2, 2) and Z'' = (-7, -1).

The x-coordinate goes from -2 ⇒ -7.

The y-coordinate goes from 2 ⇒ -1.

The x-coordinate is just shifted by -5; thus,
`x \rightarrow x-5`, and the y-coordinate first transforms as
`y \rightarrow -y`, and is then shifted by 1; thus, it transforms as
`y \rightarrow -y+1`.

So we have the full transformation

`(x,y) \rightarrow (x-5,-y+1)`