Question

A point is translated on the coordinate plane from (4,−1)
(
4
,
−
1
)
to (6,−1)
(
6
,
−
1
)
.Which function shows this translation?(1 point)
Responses

f(x)=x+2
𝑓
(
𝑥
)
=
𝑥
+
2
f left parenthesis x right parenthesis equals x plus 2

f(x)=x−2
𝑓
(
𝑥
)
=
𝑥
−
2
f left parenthesis x right parenthesis equals x minus 2

f(x)=x
𝑓
(
𝑥
)
=
𝑥
f left parenthesis x right parenthesis equals x

f(x)=x+5

Answer 1

f(x) = x + 2

Explanation: The x-coordinate goes from 4 to 6 (right 2), y stays −1. So add 2 to x: f(4) = 4 + 2 = 6.