Question

What type of transformation is shown by this rule? (x, y) -> (x + 3, y)

A. Vertical shift up 3 units.
B. Horizontal shift left 3 units.
C. Vertical stretch by a factor of 3.
D. Horizontal compression by a factor of 3.

Answer 1

The transformation shown by the rule (x, y) -> (x + 3, y) is a B) horizontal shift to the right side of the coordinate system.

Step-by-step explanation:

The transformation shown by the rule (x, y) -> (x + 3, y) is a horizontal shift to the right side of the coordinate system. This means that the x-coordinate of each point is increased by 3 units, causing the graph to be shifted horizontally to the right.