Question

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

(6, 0)
left parenthesis 6 comma 0 right parenthesis

(2, 0)
left parenthesis 2 comma 0 right parenthesis

(2, 12)
left parenthesis 2 comma 12 right parenthesis

(10, 4)
left parenthesis 10 comma 4 right parenthesis
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Answer 1

To translate the vertex P (which is at coordinates (4, 6)) 6 units down and 2 units to the right:

1. **Move down**: From y = 6, moving 6 units down gives us:
\[
6 - 6 = 0
\]
So, the y-coordinate is now 0.

2. **Move to the right**: From x = 4, moving 2 units to the right gives us:
\[
4 + 2 = 6
\]
So, the x-coordinate is now 6.

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

The correct response is:
**(6, 0)**