Question

show what you know! the translation rule $(x,y)\to(x - 5,y + 3)$ is applied to a shape. what does this rule tell you about how the shape moves? move 5 units left and 3 units down move 5 units right and 3 units up move 5 units left and 3 units up move 5 units right and 3 units down

Explanation:

Step1: Analyze the x - coordinate change

In the translation rule \((x,y)\to(x - 5,y + 3)\), for the x - coordinate, we have \(x\to x-5\). Since subtracting from the x - coordinate moves the shape to the left (because on the coordinate plane, as \(x\) values decrease, we move left), a change of \(x\to x - 5\) means a 5 - unit movement to the left.

Step2: Analyze the y - coordinate change

For the y - coordinate, we have \(y\to y + 3\). Since adding to the y - coordinate moves the shape up (because on the coordinate plane, as \(y\) values increase, we move up), a change of \(y\to y+3\) means a 3 - unit movement up.

Answer:

Move 5 units left and 3 units up