Question

What is the translation of the point to its image?
A (−1, 4)→ A' (3, 3)

Answer 1

We conclude that the formula to determine the translation of the point to its image will be:

• A (x, y) → A' (x+4, y-1)

Explanation:

Given

• Original point = A(-1, 4)

• The image of A = A'(3, 3)

In other words:

A (−1, 4) → A' (3, 3)

We need to determine the translation of the point to its image.

It is clear that the coordinates of the image A' (3, 3) of the original point A (−1, 4) can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.

Thus, the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Verification

As A(-1, 4), so using the translation formula:

A (x, y) → A' (x+4, y-1)

A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)

Therefore, we conclude that the formula to determine the translation of the point to its image will be:

• A (x, y) → A' (x+4, y-1)