Question

A point located at (-5, 2) is translated right 3 units. What are the coordinates of the image? (-5, 5) (-2, 5) (-5, -1) (-2, 2)

Answer 1

(-2, 2)

Explanation:

We are given the following coordinates of a point:

`(-5, 2)`

If this point is translated to the right for 3 units, what will be the coordinates of its image?

Translation towards right side for 3 units means that 3 units are added to its x coordinate so the new point will be:

`( - 5 , 2 )`
`\implies`
`( - 5 + 3 , 2 ) =` (-2, 2)

Answer 2

(-2,2)

EXPLANATION

The rule for translating a point 'k' units to the right is

`(x,y)\to (x+k,y)`

If the point located at (-5, 2) is translated right 3 units, the coordinates of the image is obtained by adding 3 to the x-coordinate.

This implies that,

`( - 5,2)\to ( - 5+3,2)`

`( - 5,2)\to ( -2,2)`

Therefore the image is:

(-2,2)