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QUESTION IMAGE

write the coordinates of the vertices after a translation 3 units left …

Question

write the coordinates of the vertices after a translation 3 units left and 3 units down.
e(□, □)
f(□, □)
g(□, □)
h(□, □)

Explanation:

Step1: Find original coordinates

From the graph:

  • \( E(-7, 2) \) (x=-7, y=2)
  • \( F(-7, 9) \) (x=-7, y=9)
  • \( G(0, 9) \) (x=0, y=9)
  • \( H(0, 2) \) (x=0, y=2)

Step2: Apply translation (left 3: \( x-3 \); down 3: \( y-3 \))

For \( E' \):
\( x = -7 - 3 = -10 \), \( y = 2 - 3 = -1 \) → \( E'(-10, -1) \)

For \( F' \):
\( x = -7 - 3 = -10 \), \( y = 9 - 3 = 6 \) → \( F'(-10, 6) \)

For \( G' \):
\( x = 0 - 3 = -3 \), \( y = 9 - 3 = 6 \) → \( G'(-3, 6) \)

For \( H' \):
\( x = 0 - 3 = -3 \), \( y = 2 - 3 = -1 \) → \( H'(-3, -1) \)

Answer:

\( E'(-10, -1) \)
\( F'(-10, 6) \)
\( G'(-3, 6) \)
\( H'(-3, -1) \)