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

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

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

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

(−6, 6)

Answer 1

Translate left 3: (x,y) -> (x−3,y). H(−3,6) -> H'(−6,6), I(−1,4) -> (−4,4), J(−1,1) -> (−4,1), K(−4,1) -> (−7,1), L(−5,4) -> (−8,4). So (−6,6) is a vertex of the translated figure.