Question

1. graph the image of the figure using the transformation function: (x,y)→(−x,y) verbal description: _

Explanation:

Step1: Identify transformation

The transformation $(x,y)\to(-x,y)$ is a reflection over the y - axis.

Step2: Reflect vertices

For each vertex of the triangle (assume vertices are $(x_1,y_1),(x_2,y_2),(x_3,y_3)$), find new vertices $(-x_1,y_1),(-x_2,y_2),(-x_3,y_3)$.

Step3: Graph new figure

Plot the new vertices and connect them to form the reflected triangle.

Answer:

The figure is reflected over the y - axis.