Question

9 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) 10 take a look at your table from problem 9. those points show a translation 4 units right and 3 units down.

Explanation:

Step1: Recall translation rule

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

Step2: Translate point $(-4,5)$

Using the rule $(x,y)\to(x + 4,y - 3)$, for the point $(-4,5)$ we have $x=-4,y = 5$. Then $x+4=-4 + 4=0$ and $y - 3=5-3 = 2$. So the new - point is $(0,2)$.

Step3: Translate point $(0,5)$

For the point $(0,5)$ with $x = 0,y = 5$, then $x+4=0 + 4=4$ and $y - 3=5-3 = 2$. So the new - point is $(4,2)$.

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

For the point $(-4,-1)$ with $x=-4,y=-1$, then $x + 4=-4+4 = 0$ and $y-3=-1-3=-4$. So the new - point is $(0,-4)$.

Answer:

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