Question

write the coordinates of the vertices after a translation 4 units left.
d(
,
)
e(
,
)
f(
,
)

Explanation:

Step1: Find original coordinates

First, identify the original coordinates of \( D \), \( E \), and \( F \) from the graph.

• \( D \): From the grid, \( D \) is at \( (-1, -6) \) (x=-1, y=-6).
• \( E \): \( E \) is at \( (2, -6) \) (x=2, y=-6).
• \( F \): \( F \) is at \( (-2, -4) \) (x=-2, y=-4).

Step2: Apply translation (4 units left)

A translation 4 units left means we subtract 4 from the x - coordinate of each point (since moving left on the x - axis decreases the x - value), and the y - coordinate remains the same.

For \( D \):

Original \( D(-1, -6) \). After translation: \( x=-1 - 4=-5 \), \( y = - 6 \). So \( D'(-5, -6) \).

For \( E \):

Original \( E(2, -6) \). After translation: \( x = 2-4=-2 \), \( y=-6 \). So \( E'(-2, -6) \).

For \( F \):

Original \( F(-2, -4) \). After translation: \( x=-2 - 4=-6 \), \( y=-4 \). So \( F'(-6, -4) \).

Answer:

\( D'(-5, -6) \)
\( E'(-2, -6) \)
\( F'(-6, -4) \)