A graph that represents the ordered pairs of the first three terms of the patterns from the table is: B. graph B (top right).
In Mathematics, a translation is a type of transformation that shifts every ordered pair of a geometric object in the same direction on the cartesian coordinate, as well as for the same distance.
In this scenario and exercise, we would apply a translation 2 units to the right and 4 units up to each of the ordered pairs based on the given transformation rule, in order to determine the coordinates of its image as follows;
(x, y) → (x + 2, y + 4)
(4, 8) → (4 + 2, 8 + 4) = (6, 12).
(6, 12) → (6 + 2, 12 + 4) = (8, 16).
(8, 16) → (8 + 2, 16 + 4) = (10, 20).
In this context, the table of values should be completed as follows;
x y
4 8
6 12
8 16
Complete Question:
The starting numbers for x and y are already entered in the table below. The blanks in the table represent the next two terms for each of the potterns.
The pattern for the x-values is add 2.
The pattern for the y-values is add 4.
Which graph represents the ordered pairs of the first three terms of the patterns from the table?