Question

Plot the image of point Q under a translation by 4 units to the right and 1 unit up

Answer 1

We are given a 2D grid which represents the cartesian coordinates of any point as follows:

`(\text{ x , y )}`

A point is displayed on the ( 2D ) grid for the following coordinates:

`(\text{ 1 , 4 )}`

We are to perform two transformation on the given point.

Transformation 1: Translate 4 units right

To translate the point 4 units to the right we will move 4 units along the x-axis with each unit correspond to a side of square box on the grid. Hence, for 4 unit translation we will move 4 boxes to the right of the given point and arrive at:

`\begin{gathered} (\text{ 1 + 4 , 4 )} \\ \textcolor{#FF7968}{(}\text{\textcolor{#FF7968}{ 5 , 4 )}} \end{gathered}`

Transformation 2: Translate 1 unit up

To translate the point 1 unit up we will move 1 unit along the y-axis with each unit correspond to a side of square box on the grid. Hence, for 1 unit translation we will move 1 box above the trabnsformation 1 and arrive at:

`\begin{gathered} (\text{ 5 , 4 + 1 )} \\ \text{ ( 5 , 5 )} \end{gathered}`

Hence, the image of the given point is a combination of two translations and given as:

`\textcolor{#FF7968}{(}\text{\textcolor{#FF7968}{ 5 , 5 )}}`