Chapter SR14, Problem 6P

Solution

Find the coordinate of $N(-3,8)$ after the given transformation. For rotations, rotate about the origin. Translate left 5 units.

  $N\text{'}(-8,8)$

Given:

Coordinate of $N(-3,8)$ .

Concept Used:

• 90° clockwise rotation: (x, y) becomes (y,-x). 
• 90° counterclockwise rotation: (x, y) becomes (-y, x).
• 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

Calculation:

Coordinate of $N(-3,8)$ .

On translating $N(-3,8)$ to 5 unit left the coordinate of N will be $N\text{'}(-8,8)$ .

Graphing the coordinate of $N(-3,8)$ and translating $N(-3,8)$ to 5 unit left - $N\text{'}(-8,8)$ .