Question

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

Answer 1

Answer:

The transformation

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

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

Step-by-step 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

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