Question

geometry
© 2024 kuta software llc. all rights reserved.
3.7 - practice
name jaxson voyles
date 9/12/25
graph the image of the figure using the transformation given.

1. translation: (x, y)→(x + 2, y + 5)
2. translation: (x, y)→(x - 3, y + 7)
3. translation: (x, y)→(x - 5, y - 3)
4. translation: (x, y)→(x + 5, y)

write a rule to describe each translation.
5)
a) translation: (x, y)→(x - 1, y + 1)
b) translation: (x, y)→(x - 2, y - 1)
c) translation: (x, y)→(x - 2, y + 1)
d) translation: (x, y)→(x - 2, y - 5)
6)
a) translation: (x, y)→(x + 2, y - 4)
b) translation: (x, y)→(x + 4, y)
c) translation: (x, y)→(x + 5, y + 1)
d) translation: (x, y)→(x, y - 2)
© 2024 kuta software llc. all rights reserved. made with infinite geometry

Explanation:

Step1: Recall translation rule concept

A translation $(x,y)\to(x + a,y + b)$ moves a point $a$ units horizontally and $b$ units vertically.

Step2: Solve problem 5

Pick a point on the original figure, say $K$. Let its coordinates be $(x,y)$. On the translated figure, $K'$ has coordinates. Observe the change in $x$ - coordinate and $y$ - coordinate. If we assume $K(x,y)$ and $K'(x - 2,y - 1)$, the translation rule is $(x,y)\to(x - 2,y - 1)$.

Step3: Solve problem 6

Pick a point like $T$. Let its original coordinates be $(x,y)$. For the translated point $T'$, by observing the grid - movement, if $T(x,y)$ and $T'(x + 2,y-4)$, the translation rule is $(x,y)\to(x + 2,y - 4)$.

Answer:

1. B. translation: $(x,y)\to(x - 2,y - 1)$
2. A. translation: $(x,y)\to(x + 2,y - 4)$