Final answer:
To draw the image of quadrilateral ANC's after the translation (x, y) to (x-5, y), subtract 5 from the x-coordinate of each vertex and plot the new points to draw the translated figure.
Step-by-step explanation:
The question deals with the translation of a quadrilateral in a coordinate plane. A translation is a type of transformation that slides every point of a shape the same distance in the same direction. To perform the translation (x, y) to (x-5, y) for quadrilateral ANC's, you would follow these steps:
- Determine the coordinates of each vertex of quadrilateral ANC's.
- Subtract 5 from the x-coordinate of each vertex, while keeping the y-coordinate the same, based on the translation rule given.
- Plot the new coordinates to get the vertices of the image of the quadrilateral.
- Connect the vertices in the same order to form the translated quadrilateral.
For example, if the original coordinates of a vertex are (3, 2), the translated coordinates would be (3-5, 2) which simplifies to (-2, 2).