Question

In the first quadrant, you start at 2, 6 and move 2units rights and 3 units down what point will you end up on?

Answer 1

`End = (4, 9)`

Explanation:

Given

`Start = (2,6)`

Transformation: 2 units right and 3 units down

Required

The new point

First, we take the right translation;

When a point is translated right by 2 units, the rule is:

`(x,y) \to (x + 2, y)`

So, we have:

`(2,6) \to (2 + 2, 6)`

`(2,6) \to (4, 6)`

Next, we take the down translation;

When a point is translated down by 3 units, the rule is:

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

So, we have:

`(4,6) \to (4, 6+3)`

`(4,6) \to (4, 9)`

Hence, the endpoint is:

`End = (4, 9)`