Question

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

Answer 1

To find the coordinates of point S′ after translating point S (2, 2) 6 units up and 4 units to the left, we will follow these steps:

1. **Translate S 6 units up:**
- The y-coordinate will increase by 6.
- New y-coordinate: \(2 + 6 = 8\)

2. **Translate S 4 units to the left:**
- The x-coordinate will decrease by 4.
- New x-coordinate: \(2 - 4 = -2\)

So, the new coordinates of point S′ are (-2, 8).