### Home > MC2 > Chapter 3 > Lesson 3.1.1 > Problem3-9

3-9.

Suppose that a triangle is created on a graph by connecting points $A$, $B$, and $C$ below. Marika, Kimikuand Marcus want to move triangle $ABC$ five units to the left and four units down. Write an integer expression to record how the shape moves and find the new coordinates for each vertex.

1. $A(-1, 3)$

1. $B(5, -1)$

1. $C(0, 1)$

Since each point is translated to the left and then down, there is a negative $x$-coordinate movement and a negative $y$-coordinate movement.

Think of how you could express the $x$ and $y$ coordinate translation. Would you add or subtract from the original $x$ and $y$ coordinates to get the new translated point?

(a) $x$: $-1+(-5) = -6$
$y$: $3+(-4) = -1$