Question

Graph and label: B (1,1), A (1,4) and T (4,1).
(x, y) = (x - 4, y - 2)

Answer 1

To answer the question, graph the original points B (1,1), A (1,4), and T (4,1), then apply the transformation (x - 4, y - 2) and graph the new points.

Step-by-step explanation:

The student has asked to graph and label three points B (1,1), A (1,4), and T (4,1) and then apply a transformation to these points using the rule (x, y) = (x - 4, y - 2).

To graph these points:

1. Plot point B at (1,1) on the graph.
2. Plot point A at (1,4) on the graph.
3. Plot point T at (4,1) on the graph.

Next, to apply the transformation:

1. Subtract 4 from the x-coordinate and 2 from the y-coordinate of point B, resulting in B' (-3,-1).
2. Subtract 4 from the x-coordinate and 2 from the y-coordinate of point A, resulting in A' (-3,2).
3. Subtract 4 from the x-coordinate and 2 from the y-coordinate of point T, resulting in T' (0,-1).

After applying the transformation, graph the new points and label them as B', A', and T'.