Question

1. the vertices of △abc are a(4, 7),b(-2, 6), and c(-1, 0). find the vertices of △abc for (x + 2,y - 5)

Explanation:

Step1: Find coordinates of A'

For point A(4, 7), apply the transformation $(x + 2,y - 5)$. So, $x=4,y = 7$, then $x'=4 + 2=6$ and $y'=7-5 = 2$.

Step2: Find coordinates of B'

For point B(-2, 6), apply the transformation. Here $x=-2,y = 6$, then $x'=-2+2 = 0$ and $y'=6 - 5=1$.

Step3: Find coordinates of C'

For point C(-1, 0), apply the transformation. Here $x=-1,y = 0$, then $x'=-1+2=1$ and $y'=0 - 5=-5$.

Answer:

A'(6, 2)
B'(0, 1)
C'(1, -5)