Question

which image shows the preimage reflected over the y - axis?
options: none of these, image c, image a, image b
(there are also some coordinate grid diagrams labeled preimage, image b, image a, image c)

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 should be \((-x,y)\). We analyze the coordinates of the preimage and each image.

• For Image A: The slope and position do not match the reflection of the preimage over the \( y \)-axis.
• For Image B: The coordinates do not follow the \( y \)-axis reflection rule.
• For Image C: The coordinates of the preimage's vertices, when reflected over the \( y \)-axis (changing the \( x \)-coordinate sign), match the vertices of Image C.

Answer:

C. Image C