Question

a figure is translated using the mapping $(x,y)\to(x + a,y + b)$.if the value of $a$ is negative and the value of $b$ is negative, which best describes the translation?the figure moves left and up.the figure moves right and up.the figure moves right and down.the figure moves left and down.

Explanation:

Step1: Analyze the \(x -\) coordinate change

In the mapping \((x,y)\to(x + a,y + b)\), if \(a\) is negative, then \(x+a0\) move right, when \(h < 0\) move left), the figure moves left.

Step2: Analyze the \(y -\) coordinate change

If \(b\) is negative, then \(y + b0\) move up, when \(k < 0\) move down), the figure moves down.

Answer:

The figure moves left and down.