Question

Because you are famous, people want to live near you. You have a new neighbor move in across the street after they build the same exact house as you did in Chapter 3.
Question 7
With a different color, plot and state the points of your neighbor’s house, which is a reflection of your house in Chapter 3 over the y-axis. Name the color you use on your graph here.

Answer 1

I don't have your Chapter 3 house points. Could you paste the coordinates from Chapter 3? I will reflect them and give the reflected points and a color to use.

Meanwhile, here is how to do it and a quick example so you can see the method.

Rule: a reflection across the y-axis sends each point (x, y) to (-x, y) — keep the y-coordinate the same, change the sign of the x-coordinate.

Example (if your house in Chapter 3 had these points):
- A(1, 1)
- B(4, 1)
- C(4, 4)
- D(2.5, 5)
- E(1, 4)

Reflected points (neighbor’s house) across the y-axis:
- A'(-1, 1)
- B'(-4, 1)
- C'(-4, 4)
- D'(-2.5, 5)
- E'(-1, 4)

Color to use on the graph: red.

If you send the actual coordinates from Chapter 3, I will compute the exact reflected points and restate the color to use.