Question

A point is translated on the coordinate plane from (2,−5)
(
2
,
−
5
)
to (2,−6)
(
2
,
−
6
)
. Create a function to show this translation. Which function shows the appropriate translation?(1 point)
Responses

f(x)=x−1
𝑓
(
𝑥
)
=
𝑥
−
1

f left parenthesis x right parenthesis equals x minus 1

g(y)=y
𝑔
(
𝑦
)
=
𝑦

g left parenthesis y right parenthesis equals y

g(y)=y−1
𝑔
(
𝑦
)
=
𝑦
−
1

g left parenthesis y right parenthesis equals y minus 1

g(y)=y+1
𝑔
(
𝑦
)
=
𝑦
+
1

Answer 1

g(y) = y − 1

Reason: the x-coordinate stays 2 and the y-coordinate decreases by 1 (−5 → −6), so subtract 1 from y (translation by vector (0, −1)).