Question

santana says the image is formed from the pre - image by a reflection across the y - axis followed by a translation 2 units to the right, in that order. is santanas thinking correct? yes, santana is correct. no, the translation should be 2 units to the left. no, the reflection should be across the x - axis and the translation should be 2 units to the left.

Explanation:

Step1: Analyze reflection across y - axis

When a figure is reflected across the y - axis, the x - coordinates of its points change sign.

Step2: Analyze translation

After reflection, to get from the reflected figure (pre - reflection of the given image) to the image, we count the vertical units. The translation should be 2 units up (not 2 units to the right as Santana said).

Answer:

No, the translation should be 2 units up.