Math Problem Statement

The image of point (3,4) when reflected in the y-axis is

Solution

To reflect a point across the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same.

For the point (3,4):

  • The x-coordinate is 3, and when reflected across the y-axis, it becomes -3.
  • The y-coordinate remains 4.

Thus, the reflected point is (-3, 4).

Would you like more details or have any questions about this concept?

Here are 5 related questions to further your understanding:

  1. What happens when a point is reflected across the x-axis?
  2. How would you reflect a point across the line y=xy = x?
  3. What are the general rules for reflecting points in the coordinate plane?
  4. How do reflections relate to symmetry?
  5. What is the effect of reflecting a point twice, once in the x-axis and once in the y-axis?

Tip: When reflecting a point across any axis, only one coordinate changes its sign, depending on the axis.

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Math Problem Analysis

Mathematical Concepts

Geometry
Coordinate Reflections

Formulas

Reflection across the y-axis: (x, y) -> (-x, y)

Theorems

Reflection Theorem

Suitable Grade Level

Grades 6-8