Question

The vertices of triangle upper A upper B upper C are plotted at the following coordinates: vertex upper A is plotted at left parenthesis 1 comma negative 4 right parenthesis, vertex upper B is plotted at left parenthesis 3 comma negative 3 right parenthesis, and vertex upper C is plotted at left parenthesis 4 comma negative 7 right parenthesis. The vertices of triangle upper A upper B upper C are joined by solid lines. The vertices of triangle upper A prime upper B prime upper C prime are plotted at the following coordinates: vertex upper A prime is plotted at left parenthesis 0 comma 2 right parenthesis, vertex upper B prime is plotted at left parenthesis 2 comma 3 right parenthesis, and vertex upper C prime is plotted at left parenthesis 3 comma negative 1 right parenthesis. The vertices of the second triangle are joined by dotted lines. All the coordinates are unlabeled. Mel draws triangle ABC
𝐴
𝐵
𝐶
and translates it along the coordinate grid to produce triangle A′B′C′
𝐴
′
𝐵
′
𝐶
′
. Then, he determines the functions f(x)=x+h
𝑓
(
𝑥
)
=
𝑥
+
ℎ
and g(y)=y+k
𝑔
(
𝑦
)
=
𝑦
+
𝑘
that describe the translation. What are the values of h and k in these functions?

(1 point)
Responses

h=−1
ℎ
=
−
1
and k=−6
𝑘
=
−
6

h equals negative 1 and k equals negative 6

h=−1
ℎ
=
−
1
and k=6
𝑘
=
6

h equals negative 1 and k equals 6

h=1
ℎ
=
1
and k=6
𝑘
=
6

h equals 1 and k equals 6

h=6
ℎ
=
6
and k=−1

Answer 1

Translate by (-1, 6). So h = -1 and k = 6.

(Each x-coordinate is decreased by 1 and each y-coordinate is increased by 6: e.g. (1,-4) → (0,2).)