Question

using the same graph from the question before (shown below), transform the pre - image $\triangle abc$ using the following rule: $(x,y)\to(x - 2,-y)$
$(x,y)\to(x - 2,-y)$
use the rule to find the coordinates of $\triangle abc$
$a:(\quad,\quad)$
$b:(\quad,\quad)$
$c:(\quad,\quad)$

Explanation:

Step1: Identify pre-image coordinates

From the grid, the coordinates are:
$A=(-4, 6)$, $B=(-4, 3)$, $C=(-1, 3)$

Step2: Apply transformation to $A$

Substitute $x=-4, y=6$ into $(x-2, -y)$:
$A'' = (-4-2, -6) = (-6, -6)$

Step3: Apply transformation to $B$

Substitute $x=-4, y=3$ into $(x-2, -y)$:
$B'' = (-4-2, -3) = (-6, -3)$

Step4: Apply transformation to $C$

Substitute $x=-1, y=3$ into $(x-2, -y)$:
$C'' = (-1-2, -3) = (-3, -3)$

Answer:

$A'': (-6, -6)$
$B'': (-6, -3)$
$C'': (-3, -3)$