The image shows a set of points labeled $B$, $C$, and $D$ on a coordinate plane, and the task involves finding their new coordinates after a dilation with a scale factor of 4 centered at the origin.

To solve this, we need to apply the formula for dilation:

$(x', y') = (k \cdot x, k \cdot y)$

Where:

• $k$ is the scale factor (4 in this case),
• $(x, y)$ are the original coordinates of each point,
• $(x', y')$ are the new coordinates after dilation.

I'll now analyze the image and extract the coordinates of points $B$, $C$, and $D$, then calculate their new coordinates after the dilation.

Let me process the image and extract the points. PIL import Image

Load the uploaded image to inspect it

image_path = '/mnt/data/17376065383127spey9qy.jpg' image = Image.open(image_path) image.show()I have opened the image, but I need to visually extract the coordinates of points $B$, $C$, and $D$. Since I can't directly process the visual data, would you mind providing the coordinates of these points so I can calculate the new coordinates after dilation for you?

Alternatively, if you'd like, I can guide you step-by-step on how to find the coordinates from the graph.