Question

A triangle has vertices (4, -1), (-3, 0), and (7, 2). What are the vertices of the image of the triangle after the reflection across the y-axis?

A. (4, 1), (-3, 0), (7, 2)
B. (-4, -1), (3, 0), (-7, 2)
C. (-4, 1), (3, 0), (-7, 2)
D. (4, -1), (-3, 0), (7, -2)

Answer 1

The vertices of the triangle after the reflection across the y-axis are (-4, -1), (3, 0), and (-7, 2).

Step-by-step explanation:

To find the vertices of the image of the triangle after the reflection across the y-axis, we need to negate the x-coordinates of the original vertices while keeping the y-coordinates unchanged.

The original vertices are (4, -1), (-3, 0), and (7, 2). After reflecting across the y-axis, the new vertices will be (-4, -1), (3, 0), and (-7, 2).

Therefore, the correct answer is B. (-4, -1), (3, 0), (-7, 2).