Question

question
what is the image point of (8, -4) after the transformation $r_{x - axis}circ t_{-1,3}$?
answer attempt 1 out of 2

Explanation:

Step1: Apply the translation \(T_{-1,3}\)

The translation \(T_{-1,3}\) moves a point \((x,y)\) to \((x - 1,y+3)\).
For the point \((8,-4)\), we have \(x = 8\) and \(y=-4\).
After translation: \((8-1,-4 + 3)=(7,-1)\)

Step2: Apply the reflection \(r_{x - axis}\)

The reflection \(r_{x - axis}\) changes a point \((x,y)\) to \((x,-y)\)
For the point \((7,-1)\), after reflection: \((7,-(-1))=(7,1)\)

Answer:

\((7,1)\)