Question

1. find the coordinates of the image, given $(x, y) \

ightarrow (x + 4, y - 2)$

Explanation:

Step1: Identify original coordinates

Original points: $A(-5, 1)$, $I(-1, 3)$, $J(-5, 6)$

Step2: Apply transformation to $A$

Add 4 to $x$, subtract 2 from $y$:
$A' = (-5 + 4, 1 - 2) = (-1, -1)$

Step3: Apply transformation to $I$

Add 4 to $x$, subtract 2 from $y$:
$I' = (-1 + 4, 3 - 2) = (3, 1)$

Step4: Apply transformation to $J$

Add 4 to $x$, subtract 2 from $y$:
$J' = (-5 + 4, 6 - 2) = (-1, 4)$

Answer:

Image coordinates: $A'(-1, -1)$, $I'(3, 1)$, $J'(-1, 4)$