Vertical & Horizontal Translations Quick Check
3 of 53 of 5 Items
Question
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, 0)
left parenthesis 2 comma 0 right parenthesis
(2, 12)
left parenthesis 2 comma 12 right parenthesis
(6, 0)
left parenthesis 6 comma 0 right parenthesis
(10, 4)
left parenthesis 10 comma 4 right parenthesis
To translate a figure 6 units down, we subtract 6 from the y-coordinates. To translate it 2 units to the right, we add 2 to the x-coordinates.
The original coordinates of P are (4, 6).
To translate it 6 units down, we subtract 6 from the y-coordinate:
y-coordinate of P' = 6 - 6 = 0
To translate it 2 units to the right, we add 2 to the x-coordinate:
x-coordinate of P' = 4 + 2 = 6
Therefore, the coordinates of P' are (6, 0), which corresponds to the option:
(6, 0)
left parenthesis 6 comma 0 right parenthesis