Question

On a coordinate plane, 2 quadrilaterals are shown. The first figure has points A (negative 2, 1), B (negative 4, 1), C (negative 4, 5), and D (negative 2, 4). Figure 2 has points A prime (2, 1), B prime (4, 1), C prime (4, 5), and D prime (2, 4).
What is the rule for the reflection?

rx-axis(x, y) → (–x, y)
ry-axis(x, y) → (–x, y)
rx-axis(x, y) → (x, –y)
ry-axis(x, y) → (x, –y)

Answer 1

The image is reflected across the y-axis. The rule is r_{y-axis}(x,y) → (−x, y), since each x-value changes sign while y stays the same.