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

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

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

(−1, −2)

Answer 1

Translate left 3 means subtract 3 from each x-coordinate. H(-3,6) becomes H'(-6,6), I(-1,4) → I'(-4,4), J(-1,1) → J'(-4,1), K(-4,1) → K'(-7,1), L(-5,4) → L'(-8,4).

So the correct choice is (−6, 6).