A. Translation: (x, y) → (x – 5,y); Reflection across y-axis B. Translation: (x, y) → (x, y + 5); Reflection across x-axis
C. Translation: (x, y) → (x, y – 5); Reflection across y-axis
D. Translation: (x, y) → (x, y + 5); Reflection across y-axis

Option D

Step-by-step explanation:

Let's choose a point A to understand the transformations given in the picture attached,

Coordinates of A → (2, -1)

Coordinates of image A' → (-2, 4)

From these coordinates of A and A' we can calculate the vertical shift of point A = [4 - (-1)] = 5 units

Rule used for the translation,

(x, y) → (x, y + 5)

A(2, -1) → A"(2, 4)

Followed by the reflection across y - axis,

Rule for the reflection of a point across y-axis,

(x, y) → (-x, y)

By this rule, A"(2, 4) → A'(-2, 4)

Therefore, There is a translation of 5 units upwards and reflection across y-axis.

Option D will be the answer.

answer: -1

step-by-step explanation: