Question

1. triangle abc with vertices a(0, 7), b(7, 3), and c(1, 4): (x, y)→(x - 3, y - 4) a(_, _) b(_, _) c(_, _) 4. rectangle defg with vertices d(-4, 3), e(0, 2),

Explanation:

Step1: Find new coordinates of A

Given transformation $(x,y)\to(x - 3,y - 4)$ and $A(0,7)$. Substitute $x = 0$ and $y=7$ into the transformation.
$x'=0 - 3=-3$, $y'=7 - 4 = 3$.

Step2: Find new coordinates of B

Given $B(7,3)$. Substitute $x = 7$ and $y = 3$ into the transformation.
$x'=7-3 = 4$, $y'=3 - 4=-1$.

Step3: Find new coordinates of C

Given $C(1,4)$. Substitute $x = 1$ and $y = 4$ into the transformation.
$x'=1-3=-2$, $y'=4 - 4 = 0$.

Answer:

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