Translate the figure HIJKL 3 units to the left. Which of the following would be a vertex in the translated figure?

Question

(1 point)
Responses

(−1, −2)
left parenthesis negative 1 comma negative 2 right parenthesis

(−7, 4)
left parenthesis negative 7 comma 4 right parenthesis

(2, 4)
left parenthesis 2 comma 4 right parenthesis

(−6, 6)

Answer 1

To translate the figure HIJKL 3 units to the left, we would subtract 3 from the x-coordinate of each point.

H: (x, y) -> (x - 3, y)
I: (x, y) -> (x - 3, y)
J: (x, y) -> (x - 3, y)
K: (x, y) -> (x - 3, y)
L: (x, y) -> (x - 3, y)

So the translated figure would have the vertices:

H': (-6, 6)
I': (-4, 4)
J': (-5, -2)
K': (-10, 4)
L': (-9, 9)

Therefore, the vertex that would be in the translated figure is (-6, 6).