Question

Which is the image of P(4, 7) after a translation along < 1, 3 >?

Answer 1

Given:

The point is located at P(4,7).

It is translated along
`\left<1,3\right>`.

To find:

The image of the given point after the translation.

Solution:

The point is translated along
`\left<1,3\right>`. So, the rule of translation is defined by:

`(x,y)\to (x+1,y+3)`

The point is located at P(4,7).

Using the above rule, we get

`P(4,7)\to P'(4+1,7+3)`

`P(4,7)\to P'(5,10)`

The image of given point after the translation is (5,10).

Therefore, the correct option is A.