Question

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)
left parenthesis 2 comma 4 right parenthesis

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

(−6, 6)
left parenthesis negative 6 comma 6 right parenthesis

(−1, −2)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

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

To translate 3 units to the left, we subtract 3 from each 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 would be (-6, 6), so the correct answer is (−6, 6).