Question

What is (1, -7) Translated 3 units to the Left, and 5 Units up?

Answer 1

The point after translation is: (-2, -2)

Explanation:

Given point is:

(1, -7) => A(1,-7)

There are four cases for a point's translation:

• Up: The y-coordinate increases a units where a is a constant.

• Down: The y-coordinate decreases a units where a is a constant.

• Right: The x-coordinate increases a units where a is a constant.

• Left: The x-coordinate decreases a units where a is a constant.

Now we have to translate the given point 3 units to the left which means 3 will be subtracted from x coordinate.

Similarly, The point has to be translated 5 units up which means 5 will be added to the y-coordinate of point.

`A(1,-7) ---> (1-3, -7+5) ---> A'(-2,-2)`

Hence,

The point after translation is: (-2, -2)