Question

shift the graph using the rule: (x + 3, y - 1)

Explanation:

Step1: Identify original coordinates

First, we find the coordinates of points A, B, and C from the graph. Let's assume:

• Point A: $(6, 2)$ (since it's at x=6, y=2)
• Point B: $(2, 2)$ (at x=2, y=2)
• Point C: $(2, 5)$ (at x=2, y=5)

Step2: Apply the translation rule

The translation rule is $(x + 3, y - 1)$. We apply this to each point:

For Point A:

New x-coordinate: $6 + 3 = 9$
New y-coordinate: $2 - 1 = 1$
So, A' is $(9, 1)$

For Point B:

New x-coordinate: $2 + 3 = 5$
New y-coordinate: $2 - 1 = 1$
So, B' is $(5, 1)$

For Point C:

New x-coordinate: $2 + 3 = 5$
New y-coordinate: $5 - 1 = 4$
So, C' is $(5, 4)$

Step3: Plot the translated points

Now, we can plot the points A'$(9, 1)$, B'$(5, 1)$, and C'$(5, 4)$ on the coordinate plane. Connecting these points will give the translated triangle.

Answer:

The translated coordinates are: A'$(9, 1)$, B'$(5, 1)$, C'$(5, 4)$. To graph the translated figure, plot these points and connect them.