Question

1. the graph of $\triangle abc$ is shown. graph the image of $\triangle abc$ after a translation of 4 units right and 1 unit up. write the coordinates of the image. (example 1)

Explanation:

Step1: Identify original coordinates

From the graph: $A(-3, -2)$, $B(-4, -5)$, $C(-1, -3)$

Step2: Apply translation rule

For a translation 4 units right ($x+4$) and 1 unit up ($y+1$):
New $A$: $(-3+4, -2+1) = (1, -1)$
New $B$: $(-4+4, -5+1) = (0, -4)$
New $C$: $(-1+4, -3+1) = (3, -2)$

Answer:

Coordinates of the image:
$A'(1, -1)$, $B'(0, -4)$, $C'(3, -2)$

(To graph the image: plot these three points and connect them to form $\triangle A'B'C'$)