Question

determine the coordinates of each point after a translation 4 units right and 3 units down. pre - image coordinates image coordinates (-4,5) (0,5) (-4,-1)

Explanation:

Step1: Recall translation rule

For a translation $a$ units right and $b$ units down, the rule is $(x,y)\to(x + a,y - b)$. Here $a = 4$ and $b=3$.

Step2: Translate $(-4,5)$

Substitute $x=-4$ and $y = 5$ into the rule: $(-4+4,5 - 3)=(0,2)$.

Step3: Translate $(0,5)$

Substitute $x = 0$ and $y=5$ into the rule: $(0 + 4,5-3)=(4,2)$.

Step4: Translate $(-4,-1)$

Substitute $x=-4$ and $y=-1$ into the rule: $(-4 + 4,-1-3)=(0,-4)$.

Answer:

Pre - Image Coordinates	Image Coordinates
$(0,5)$	$(4,2)$
$(-4,-1)$	$(0,-4)$