Question

give the coordinates of the image after the given transformation. 2. triangle abc with vertices a(0, 7), b(7, 3), and c(1, 4): (x, y)→(x - 3, y - 4)

Explanation:

Step1: Transform vertex A

For $A(0,7)$, $x = 0,y = 7$. Then $x-3=0 - 3=-3,y - 4=7 - 4 = 3$.

Step2: Transform vertex B

For $B(7,3)$, $x = 7,y = 3$. Then $x-3=7 - 3=4,y - 4=3 - 4=-1$.

Step3: Transform vertex C

For $C(1,4)$, $x = 1,y = 4$. Then $x-3=1 - 3=-2,y - 4=4 - 4 = 0$.

Answer:

$A'(-3,3),B'(4,-1),C'(-2,0)$