Given the preimage R(7,-2) and coordinate notation (x,y)→(x,-y) to describe the transformation, what is the coordinate of the image?

To find the image of the point \( R(7, -2) \) after the transformation described by \( (x, y) \to (x, -y) \), we apply the transformation rule to the coordinates:

1. The x-coordinate remains the same: \( x = 7 \).
2. The y-coordinate is negated: \( y = -(-2) = 2 \).

Thus, the coordinate of the image is \( R'(7, 2) \).

Would you like further details or have any questions?

Here are 5 related questions to consider:
1. What is the general effect of a reflection over the x-axis on a point's coordinates?
2. How would the transformation \( (x, y) \to (-x, y) \) affect a point?
3. What would happen to \( R(7, -2) \) if the transformation were \( (x, y) \to (-x, -y) \)?
4. Can you describe the transformation \( (x, y) \to (y, x) \) geometrically?
5. How does reflecting a point across both axes change its coordinates?

**Tip**: Reflections over the x-axis change the sign of the y-coordinate, while reflections over the y-axis change the sign of the x-coordinate.

Learn how to transform the point R(7,-2) using the coordinate transformation (x, y) → (x, -y), which reflects the point across the x-axis. Follow a step-by-step solution to find the image of the point. This guide is perfect for students in Grades 6-8 and covers important concepts in coordinate geometry and transformations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation