Question

use the graph and the translation (x,y)→(x + 2,y + 1) to answer parts a and b below. a. enter the image of each vertex as an ordered pair. a→a b→b c→c (type ordered pairs.)

Explanation:

Step1: Identify the coordinates of original vertices

Assume the coordinates of point A are $(x_A,y_A)$, B are $(x_B,y_B)$ and C are $(x_C,y_C)$ from the graph.

Step2: Apply the translation rule

For point A, the new coordinates $A'$ are $(x_A + 2,y_A+1)$.
For point B, the new coordinates $B'$ are $(x_B + 2,y_B+1)$.
For point C, the new coordinates $C'$ are $(x_C + 2,y_C+1)$.

Answer:

Since the original coordinates of A, B and C are not given in the problem - statement, we cannot give specific ordered - pairs. But the general form for the image of a vertex $(x,y)$ under the translation $(x,y)\to(x + 2,y + 1)$ is $(x+2,y + 1)$. If we knew the original coordinates of A, B and C (say $A=(a_1,a_2)$, $B=(b_1,b_2)$, $C=(c_1,c_2)$), then $A'=(a_1 + 2,a_2+1)$, $B'=(b_1 + 2,b_2+1)$, $C'=(c_1 + 2,c_2+1)$.