Question

Has the coordinates given.

H (0, 0), I (-3, -1), J (-1, -2)

Find the new coordinates after the translation 3 unit to the right and 2 units down.

Answer 1

• H'(3, -2)
• I'(0, -3)
• J'(2, -4)

Explanation:

The x-coordinate of a point is the number units to the right of the y-axis where the point may be found. Translating the point to the right adds to the x-coordinate. Translating to the left subtracts from the x-coordinate.

The y-coordinate of a point is the number of units above the x-axis where the point may be found. Translating the point upward adds to the y-coordinate. Translating downward subtracts from the y-coordinate.

__

When a point is translated 3 units right and 2 units down, its x-coordinate has 3 added to it, and its y-coordinate has 2 subtracted from it. We can summarize the transformation like this:

(x, y) ⇒ (x +3, y -2)

Applying this transformation to the given points, we find ...

H(0, 0) ⇒ H'(3, -2)

I(-3, -1) ⇒ I'(0, -3)

J(-1, -2) ⇒ J'(2, -4)