Question

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.

If figure PQRS
is translated 6 units up and 4 units to the left, what are the coordinates of point S′
?

(1 point)
(
,
)
Remaining Attempts : 3
Skip to navigation

Answers

GPT-4o mini
To find the new coordinates of point \( S' \) after translating point \( S \) (which is at (2, 2)) 6 units up and 4 units to the left, we follow these steps:

1. **Move 6 units up:**
\[
y \text{-coordinate}: 2 + 6 = 8
\]

2. **Move 4 units to the left:**
\[
x \text{-coordinate}: 2 - 4 = -2
\]

Thus, the new coordinates for point \( S' \) will be \( (-2, 8) \).

Final answer:
\[
(-2, 8)
\]