Question

triangle vwx with vertices v(-1, 0), w(6, 8), and x(4, -3): (x, y) → (x - 1, y - 5)

Explanation:

Step1: Apply transformation to vertex V

For vertex V(-1, 0), using the transformation $(x,y)\to(x - 1,y - 5)$. Substitute $x=-1$ and $y = 0$: $x'=-1-1=-2$, $y'=0 - 5=-5$. So V' is (-2,-5).

Step2: Apply transformation to vertex W

For vertex W(6, 8), substitute $x = 6$ and $y=8$ into the transformation. $x'=6-1 = 5$, $y'=8-5=3$. So W' is (5,3).

Step3: Apply transformation to vertex X

For vertex X(4,-3), substitute $x = 4$ and $y=-3$ into the transformation. $x'=4-1=3$, $y'=-3-5=-8$. So X' is (3,-8).

Answer:

V'(-2,-5), W'(5,3), X'(3,-8)