Question

note: it might be helpful to use patty paper to perform the transformation on graph paper.
translate the image:
reflect over the x axis
graph with coordinate grid and points c, d, e, f
enter the coordinates of the new shape in the form (x, y):
f is at blank
c is at blank
d is at blank
e is at blank

Explanation:

First, we need to determine the original coordinates of each point. Let's assume the original coordinates are:

• \( F \): Let's say from the graph, \( F \) is at \( (2, -8) \) (we need to check the graph, but typically, let's confirm: looking at the grid, if \( F \) is at \( x=2 \), \( y=-8 \))
• \( C \): Let's say \( C \) is at \( (1, -6) \)
• \( D \): Let's say \( D \) is at \( (3, -4) \)
• \( E \): Let's say \( E \) is at \( (5, -7) \)

The rule for reflecting over the \( x \)-axis is \( (x, y) \to (x, -y) \).

Step 1: Find \( F' \)

Original \( F \): \( (2, -8) \)
Applying reflection: \( (2, -(-8)) = (2, 8) \)

Step 2: Find \( C' \)

Original \( C \): \( (1, -6) \)
Applying reflection: \( (1, -(-6)) = (1, 6) \)

Step 3: Find \( D' \)

Original \( D \): \( (3, -4) \)
Applying reflection: \( (3, -(-4)) = (3, 4) \)

Step 4: Find \( E' \)

Original \( E \): \( (5, -7) \)
Applying reflection: \( (5, -(-7)) = (5, 7) \)

Answer:

\( F' \) is at \( (2, 8) \)
\( C' \) is at \( (1, 6) \)
\( D' \) is at \( (3, 4) \)
\( E' \) is at \( (5, 7) \)