Question

point upper a is plotted at left parenthesis negative 2 comma 3 right parenthesis, and point upper a prime is plotted at left parenthesis 3 comma 5 right parenthesis. the coordinates are unlabeled.


on this coordinate plane, point a
𝐴
is translated into point a′
𝐴
′
. which functions give the two translations?

(1 point)
responses

f(x)=x+2
𝑓
(
𝑥
)
=
𝑥
+
2
and g(y)=y+5
𝑔
(
𝑦
)
=
𝑦
+
5

f left parenthesis x right parenthesis equals x plus 2 and g left parenthesis y right parenthesis equals y plus 5

f(x)=x−5
𝑓
(
𝑥
)
=
𝑥
−
5
and g(y)=y−2
𝑔
(
𝑦
)
=
𝑦
−
2

f left parenthesis x right parenthesis equals x minus 5 and g left parenthesis y right parenthesis equals y minus 2

f(x)=x+6
𝑓
(
𝑥
)
=
𝑥
+
6
and g(y)=y+3
𝑔
(

Answer 1

Translation from (-2, 3) to (3, 5) adds 5 to x and 2 to y. So

f(x) = x + 5 and g(y) = y + 2.