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
(−6, 6)
left parenthesis negative 6 comma 6 right parenthesis
(−1, −2)
left parenthesis negative 1 comma negative 2 right parenthesis
(−7, 4)
left parenthesis negative 7 comma 4 right parenthesis
To translate the figure HIJKL 3 units to the left, we need to subtract 3 from the x-coordinates of each vertex.
The initial vertex coordinates are:
H (-3, 6)
I (-1, 4)
J (-1, 1)
K (-4, 1)
L (-5, 4)
If we subtract 3 from each of the x-coordinates, we get the new coordinates:
H' (-6, 6)
I' (-4, 4)
J' (-4, 1)
K' (-7, 1)
L' (-8, 4)
So, the vertex in the translated figure is (−8, 4).