Question

which image shows the preimage reflected over the y-axis?
options: image b, image a, image c, none of these

Explanation:

To determine the reflection over the \( y \)-axis, we use the rule for reflecting a point \((x, y)\) over the \( y \)-axis: the image point is \((-x, y)\). This means the \( x \)-coordinate changes sign while the \( y \)-coordinate remains the same. By analyzing the preimage and the given images, we check which image has points that are the reflection (i.e., \( x \)-coordinates are negated relative to the preimage). Image C aligns with the preimage's reflection over the \( y \)-axis as per the reflection rule.

Answer:

Image C