Question

1. graph & label the images of the sequence of transformations.

translate \\(\delta fly\\) \\((x, y) \
ightarrow (x - 4, y + 3)\\)
rotate \\(\delta fly\\) \\(270^\circ\\) clockwise

Explanation:

Identify original coordinates

Using the Geometric Transformations knowledge point

$$
LATEXBLOCK0
$$

Translate the triangle

Using the Translation knowledge point

$$
LATEXBLOCK1
$$

Rotate the translated triangle

Using the Coordinate Rotation knowledge point

$$
LATEXBLOCK2
$$

Answer:

The coordinates of the vertices after each transformation are:

Original Vertices:

• \(F(2, 3)\)
• \(L(0, -1)\)
• \(Y(-2, 2)\)

**After Translation \((x, y)
ightarrow (x - 4, y + 3)\):**

• \(F'(-2, 6)\)
• \(L'(-4, 2)\)
• \(Y'(-6, 5)\)

**After Rotation \(270^\circ\) Clockwise (equivalent to \(90^\circ\) Counterclockwise, \((x, y)
ightarrow (-y, x)\)):**

• \(F''(-6, -2)\)
• \(L''(-2, -4)\)
• \(Y''(-5, -6)\)