Vertical & Horizontal Translations Quick Check

Question

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

Answer 1

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