Question

Vertical & Horizontal Translations Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 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.

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

Answer 1

To find the new coordinates of point \( S' \) after translating point \( S(2, 2) \) 6 units up and 4 units to the left, we will perform the translations step by step:

1. **Translation 6 units up**: This means we add 6 to the y-coordinate.
\[
y_{new} = 2 + 6 = 8
\]

2. **Translation 4 units to the left**: This means we subtract 4 from the x-coordinate.
\[
x_{new} = 2 - 4 = -2
\]

After applying these translations, the new coordinates of point \( S' \) are:
\[
S' = (-2, 8)
\]

Answer: \((-2, 8)\)