Use the image to answer the question.

An illustration of a coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A pentagon upper H upper I upper J upper K upper L is plotted on the graph with the vertices marked as closed points. The vertices of the pentagon upper H upper I upper J upper K upper L are marked at upper H left parenthesis negative 3 comma 6 right parenthesis, upper I left parenthesis negative 1 comma 4 right parenthesis, upper J left parenthesis negative 1 comma 1 right parenthesis, upper K left parenthesis negative 4 comma 1 right parenthesis, and upper L left parenthesis negative 5 comma 4 right parenthesis.

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

(1 point)
Responses

(2, 4)

(−1, −2)

(−7, 4)

(−6, 6)

1 answer

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

The original coordinates of the vertices are:
H(-3, 6)
I(-1, 4)
J(-1, 1)
K(-4, 1)
L(-5, 4)

Subtracting 3 from the x-coordinate:
H(-3 - 3, 6) = (-6, 6)
I(-1 - 3, 4) = (-4, 4)
J(-1 - 3, 1) = (-4, 1)
K(-4 - 3, 1) = (-7, 1)
L(-5 - 3, 4) = (-8, 4)

Therefore, the vertex in the translated figure is (-8, 4).
The correct option is: (−8, 4)