Question

1. graph the image of the figure on the right under the given translation.

$(x,y)\to(x + 4,y - 2)$
choose the correct graph below.

1. the blue figure is a translation image of the black figure. write a rule to describe the translation.

the translation rule is $(x,y)\to(x+(),y+())$.

1. find a translation that has the same effect as the composition of translations below.

$(x,y)\to(x + 4,y + 1)$ followed by $(x,y)\to(x - 3,y + 8)$
choose the correct answer below.
a. $(x,y)\to(x + 1,y + 9)$
b. $(x,y)\to(x + 1,y - 7)$
c. $(x,y)\to(x + 7,y - 7)$
d. $(x,y)\to(x + 7,y + 9)$

Explanation:

Step1: Addition des composantes x

Pour la première translation \((x,y)\to(x + 4,y+1)\) et la deuxième \((x,y)\to(x - 3,y + 8)\), on additionne les composantes \(x\) : \(4+( - 3)=1\)

Step2: Addition des composantes y

On additionne les composantes \(y\) : \(1 + 8=9\)

Answer:

A. \((x,y)\to(x + 1,y+9)\)