Question

A translation is shown on the grid below in which triangle A is the pre-image and triangle B is the image.

On a coordinate plane, triangle A is shifted 6 units to the right to form triangle B.

Which rule describes the x-coordinates in the translation?
x + 0
x + 6
x – 6
x + 4

Answer 1

(b) x + 6

Explanation:

You want the rule for the x-coordinate when the transformation is a right shift of 6 units.

Right shift

A point that is the image of a pre-image point with x-coordinate x will be 6 units farther right of the y-axis than the pre-image point.

The x-coordinate measures how far right of the y-axis a point is. When that distance increases by 6 units, the x-coordinate increases by 6 units:

x ⇒ x+6 . . . . . . the x-coordinate transformation rule

<95141404393>