Chapter 12.4, Problem 2E

To determine

To describethe translation in words.

Answer to Problem 2E

The point moves $3$ units to the right along x-axis and $7$ units down along y-axis to reach image point.

Explanation of Solution

Given information :

Consider the coordinate notation provided in the question:

  $(x,y)\to (x+3,y-7)$

Concept used:The translation of a point $(x,y)$ can be described using coordinate notation:

  $(x,y)\to (x+a,y+b)$

Where $a$ indicates how many units a point moves horizontally and $b$ indicates how many units a point moves vertically. Move the point $(x,y)$ to the right if $a$ is positive and to the left if $a$ is negative. Move the point up if $b$ is positive and down if $b$ is negative.

As per the problem

The translation of a point $(x,y)$ can be described using coordinate notation:

  $(x,y)\to (x+a,y+b)$

Where $a$ indicates how many units a point moves horizontally and $b$ indicates how many units a point moves vertically. Move the point $(x,y)$ to the right if $a$ is positive and to the left if $a$ is negative. Move the point up if $b$ is positive and down if $b$ is negative.

Therefore,

The transition of a point using coordinate notation:

  $(x,y)\to (x+3,y-7)$

Here $a$ = $3$ and $b$ = $7$ .

Means,

The point moves $3$ units to the right along x-axis and $7$ units down along y-axis to reach image point.