Use the image to answer the question.

An illustration shows a coordinate plane. Both x- and y-axes range from negative 10 to 10 in one unit increments. A quadrilateral with vertices P Q R S is drawn on it. Vertex P is at coordinates left parenthesis 4 comma 6 right parenthesis, vertex Q is at coordinates left parenthesis 7 comma 2 right parenthesis, vertex R is at coordinates left parenthesis 5 comma negative 2 right parenthesis, and vertex S is at coordinates left parenthesis 2 comma 2 right parenthesis.

Translate figure PQRS 6 units down and 2 units to the right. What are the coordinates of P′?
(1 point)
Responses

(2, 12)
left parenthesis 2 comma 12 right parenthesis
(10, 4)
left parenthesis 10 comma 4 right parenthesis
(2, 0)
left parenthesis 2 comma 0 right parenthesis
(6, 0)

1 answer

To translate figure PQRS 6 units down and 2 units to the right, we need to subtract 6 from the y-coordinate of each vertex and add 2 to the x-coordinate of each vertex.

The coordinates of P are (4, 6).

Subtracting 6 from the y-coordinate, we get 6 - 6 = 0, and adding 2 to the x-coordinate, we get 4 + 2 = 6.

Therefore, the coordinates of P' are (6, 0).

The correct answer is (6, 0).