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.

beanburito

step-by-step explanation:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic